Alias: In the series finale, Arvin Sloane solves Rembaldi's riddle while in an underground chamber, gaining immortality. Jack Bristow finds him and detonates a bomb. The explosion kills Jack and causes a cave-in, burying Sloane alive under a mountain of rubble, doomed to be alone and immobile, yet conscious, for the rest of eternity.
On American Horror Story: Coven, Madame Delphine Lalaurie is given the "gift" of immortality by voodoo queen Marie Laveau, who then buries her alive. When Fiona digs her up 150 years later and she eventually winds up in the hands of Marie again, she chops off Delphine's head. Later on, when Delphine is put back together by Queenie, she gets revenge on Marie by chopping her up and placing her body parts all over the city.
In Andromeda, the characters encounter a ship which murdered her crew along with an entire planet, and spent three centuries mad. She ends up pulling a Suicide by Cop.
The last season had an episode with a rather nightmare inducing ending. The gang manages to stop a malevolent spirit of a horrendous sociopathic killer who had been sacrificing other spirits to keep himself "undead" for nearly a century. Angel has the spirit given a physical body that cannot age so that he can no longer use his undead powers. Wolfram & Hart then lock him up in a little room indefinitely. The scariest part is that not only was this room already built for this purpose, there were dozens of rooms like this in the hall they walked through.
Angel is an example of this; he wants to be human again.
Lorien mentions that immortals cease to bother with anything because everything fades with time. Indeed, most of the immortals on the show have fared poorly-the Vorlons and Shadows are both almost universally insane. Some of the First Ones have ended up so insular they've never talked to anyone in centuries.
Lorien: At first, we were kept in balance by birth rate. Few of us were ever born, less than a handful each year. Then I think the Universe decided that to appreciate life, for there to be change and growth, life had to be short. So, the generations that followed us grew old, infirm, and died. But those of us who were first, went on. We discovered the Vorlons and the Shadows when they were infant races and nourished them, helped them and all the other races you call the First Ones. In time, most of them died, or passed beyond the rim to whatever lies in the darkness between galaxies. We've lived too long, seen too much. To live on as we have is to leave behind joy and love and companionship, because we know it to be transitory, of the moment. We know it will turn to ash. Only those whose lives are brief can imagine that love is eternal. You should embrace that remarkable illusion-it may be the greatest gift your race has ever received.
Sebastian: Good luck to you in your holy cause, Captain Sheridan. May your choices have better results than mine. Remembered not as a messenger, remembered not as a reformer, not as a prophet, not as a hero... not even as Sebastian. Remembered only... as Jack.
Being Human (UK): Mentioned in an exchange between Annie, a ghost, and Hal, a 500 years-old vampire when she tells him not to forget something.
Hal: I never forget anything. Annie: It must be lovely being you. Always the cleverest and the oldest and never forget anything for hundreds of years. Hal: No. It's terrible.
In the third season, characters seem to take turns pointing out all of the above to Angel. Even Spike (although he mostly mocks the idea of him and Buffy being "friends"). Angel agrees; he would rather be human again.
Sid the demon slayer, cursed to immortality in his puppet body, points out that his body is dust and bones, but all he wants is to be free of the damn thing. While the EU later shows that he may still be both alive and trapped in the puppet body.
Poor Merrick in The Movie was also immortal (well, at least biologically so), and had to spend several centuries wandering the earth to find and train each new Slayer, only to have to start all over again after the girls all were killed or retired. And to think all he wanted was to be a bootmaker....
The Mayor seems pretty happy with his Immortality but notes how horrible it was to see his wife age normally and grow to despise him for his eternal youth. He says that he doesn't want Angel and Buffy to go through the same thing that he did.
Charmed (1998) has Cole go mad after getting immortality. At one point, he's about to put himself in a guillotine and gleefully saying "I can't wait to see how I survive this one!" only for Piper to save him before he teleports away to pursue another unrelated scheme.
The Curiosity episode "Can You Live Forever?" plays with this concept, outlining the practical concerns of immortality-replacing lost limbs, rejuvenating dead tissue, increasing memory once the organic brain is full, etc. - and how they can be addressed through technological means. The "outliving your loved ones" issue is touched upon briefly, but the show does address a bigger problem in more detail: if your immortality is dependent on technology, what happens when that technology is wiped out by an Extinction-Level Event? Luckily the subject is Adam Savage, who is nothing if not resourceful.
"The Celestial Toymaker" is an immortal who kidnaps travellers and forces them to play childish but deadly games simply to relieve the monotony of his existence. At the end, defeated, he takes the Doctor destroying his realm as a consolation: at least rebuilding it will give him something to do. The Toymaker was followed by the Eternals in "Enlightenment" and the Gods of Ragnarok in "The Greatest Show in the Galaxy", who were similarly bored immortals playing with the lives of mortals in their search for entertainment.
The Fourth Doctor story "The Brain of Morbius" is a direct articulation of the trope. The Doctor openly states that the Time Lords reject permanent immortality, even though they could theoretically extend their regeneration cycle indefinitely. Next season, in "The Deadly Assassin", it's stated that the limit is twelve regenerations, and living on past this limit has not been good for the Master at all, who is now a bug-eyed zombie. (It should be pointed out that the idea of the show lasting long enough to reach this limit was not a serious risk when this plot was written — when the Doctor finally reaches his twelve regeneration limit in "The Time of the Doctor", he is granted another cycle by the Time Lords.)
"Underworld" features a race that had been given a primitive version of regeneration technology by the Time Lords, allowing them to return to youth upon reaching old age. The process of doing this for as long as they have has removed nearly all emotion from them, except their fixation on The Quest.
Fifth Doctor: Sometimes you have to live with the consequences of your actions.
Jack Harkness was made "a fixed moment in time" as a side effect of his resurrection by the empowered Rose in "The Parting of the Ways". He can be killed, but no matter what caused his death, his body eventually heals and he revives with full physical and mental function intact. He initially sought a "cure" for his condition, but gave up hope of finding one after learning that the Doctor couldn't help him. It is heavily implied that Jack is actually the Face of Boe, who dies in the year 5,000,000,053.
In the revival, the Doctor themself has occasional moments of this, having advanced to the age of 2,000 (at least), been forced to destroy their entire race and home planet, and seen many of their human friends age and die.
Twelfth Doctor: Immortality isn't living forever; that's not what it feels like. Immortality is watching everyone else die.
"School Reunion" was the first new series episode to bring this trope up, while questioning why the Doctor leaves his companions behind, or lets them go:
The Doctor: I don't age. I regenerate. But humans decay. You wither and you die. Imagine watching that happen to someone that you... Rose: What, Doctor? The Doctor: You can spend the rest of your life with me. But I can't spend the rest of mine with you. I have to live on, alone. That's the curse of the Time Lords.
The Doctor: I'm old enough to know that a longer life isn't always a better one. In the end you just get tired. Tired of the struggle. Tired of losing everyone that matters to you. Tired of watching everything turn to dust. If you live long enough, Lazarus, the only certainty left is that you’ll end up alone. Lazarus: That's a price worth paying. The Doctor: Is it?
In "Human Nature"/"The Family of Blood", the Doctor is being pursued by creatures who wished to gain long-lived nigh-immortal bodies like that of the Doctor. The Doctor grants them immortality, but punishes them severely. One is wrapped in unbreakable chains. One is thrown into a collapsing galaxy. One is trapped inside ALL the mirrors. One is suspended in time and posed as a scarecrow.
It's a sentiment shared by the Eighth Doctor, moments before his death, ironically, when he meets the Sisters of Karn once again.
Eighth Doctor: You're the Sisterhood of Karn, keepers of the Flame of Utter Boredom. Ohila:Eternal life. Eighth Doctor: That's the one.
The Twelfth Doctor laments that his unnaturally long lifespan and the nature of his travels leave him in a similar situation to this trope in "The Girl Who Died", and presages a Sadistic Choice: He wants to save a brave young girl from death, but the only method he can find to do so will make her immortal and unaging. He chooses to err on the side of life — after all, he's a doctor — and leaves her with the means to have an immortal companion of her own one day, but he worries he's made a mistake because of the straight version of this trope. The final scene and next episode reveal she becomes unhappy and embittered as centuries pass.
Additionally, the next episode, "The Woman Who Lived"reveals that Ashildir's human brain can't contain the memories of 800 years of life, so she's forgotten her name and only knows about her past through her journals. She tears out the pages with the more painful memories, except for the deaths of her children so she'll never have more. She has also forgotten her name and just calls herself Me (sometimes Lady Me, or Mayor Me, depending on the situation).
Twelve gives voice to the sentiment again in "Twice Upon a Time", providing context for why he'd initially decided to die in the Series 10 finale rather than regenerate again; it's kindness that eventually convinces him to go through with the regeneration.
Not in the sense of actual immortality, but in the Elementary episode "Ready or Not", when the investigation leads to 'the Keep', an exclusive bunker intended for the rich and powerful in the event of some kind of world-ending catastrophe, Sherlock notes that he personally would prefer to die with the masses than be stuck for the rest of his life in a bunker with people who think that outliving the rest of humanity is a good thing.
The first episode of Eerie, Indiana involves a widow who uses "Foreverware" (A Tupperware that keeps things eternally fresh as long as they're tightly sealed inside) to keep herself and her sons at the age they were when her husband died- in 1964. The twins ask Marshall for help ending this as, in their words, "Thirty years in the 7th grade is Hell."
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The protagonist of Forever is a medical examiner named Henry Morgan, who has been immortal for about 200 years. He has no idea how or why he was "cursed" with this "condition," although for a long time he thought it was a punishment for failing to save the lives of the African captives on a slave ship. Turns out he didn't fail, as the key he'd stolen for them dropped from his dead hand within their reach and they were able to take over the ship and sail it to free waters in the North. He's traveled, learned languages, had adventures, and gone through hardship and loss. At this point, he tells his son Abraham (who is now twice Henry's apparent age), he just wants to experience the natural cycle of life, to grow old like Abe.
Henry learns in the pilot that he is not alone, there is another immortal who calls himself Adam, but the man is a complete sociopath and claims that he was once just as good and decent a man as Henry is, but the inevitable result of immortality will be losing all connection to humanity. All the more reason for Henry to seek a way out of his condition. Adam is conflicted; he has a theory that the weapon which first killed an immortal will be able to kill them permanently, in his case a Roman pugio dagger, but he's never been ready enough to die to test that theory himself. He does, however, try to goad Henry into trying to kill him with it. Adam tells Henry that the worst part of immortality is feeling like time is no longer moving for him.
The main point of Forever Knight is that, after a long life as a vampire, Nick "wants to become mortal again" (which perplexes the other vampires in the series, as well as Vampire Vannabe humans).
Though his sire LaCroix also notes the irony when it's believed an incoming asteroid might cause The End of the World as We Know It. Younger vampires like Nick will die of starvation, but the older and more powerful vampires will linger on. "I have been delivered from death. To a more permanent hell."
Invoked Trope on Game of Thrones. Before fighting Ramsay's army in "Battle of the Bastards", Jon Snow (who was resurrected after being stabbed to death) explicitly tells Melisandre not to resurrect him again if he dies. She replies that she has no control over who the Lord of Light wants her to resurrect. This is a different variant of the trope, since Jon's desire not to be brought back might just be due to how traumatic death and resurrection seemed to be.
In The Good Place, this trope helps deconstruct the traditional notions of Heaven and Hell. It's implied that the humans in the Bad Place are getting used to eternal punishment after a while, what with the demons trying to constantly find new inventive ways of torturing the souls of the damned while the humans in the Good Place have grown bored due to the novelty of getting anything and everything they could ever want wearing out (although in the latter case, the fact that no human managed to reach the Good Place since at least 1497 AD probably didn't help, as no new residents meant no new souls to interact with, at least until the Soul Squad found a way to fix the afterlife). Thus, the heroes have to find a solution to this problem as well. The solution is a door, or rather, a pergola in a peaceful redwood forest. Going through it seems to imply a permanent Cessation of Existence, but Chidi's foreshadowing through a paraphrased Buddhist parable and Eleanor's exit through the door lean more towards reincarnation, or at least something close to The Lifestream in which one's soul is scattered through the cosmic fabric of the universe where those fragments can reconstruct into different forms with other souls later on and bond with other living souls on Earth to help them become kinder.
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Heroes: Takezo Kensei/Adam Monroe is almost immortal, and because Humans Are Bastards he lives to witness centuries of cruelty and evil, goes quite mad (in both the "insane" and "angry" senses) and tries to kill off most of humanity.
Highlander: The Series: Many immortals are shown to become psychopaths or devoted to the point of zealotry to some cause that gives meaning to their existence, whether it is "The game" or eliminating potential dictators. Some immortals — namely the good guys — are shown to avert the trope by balancing the loneliness of immortality by enjoying life to the fullest and using their immortality to develop new pastimes and experience the world like no humans can. For example, Methos-the oldest immortal-has written a journal chronicling most of his life and experiences (at least some of it-he is older than writing, so some stuff went undocumented). The episode "Stone of Scone" shows this very well. The show also explores some of the more tragic possibilities, such as a villain who spends 70 years in a jail cell before finally being released, another Buried Alive for 60 years, a boy who became immortal as a child, or an immortal with mental handicaps.
Some immortals (at least a couple of them seen in one episode) have solved the "significant other" problem by falling in love with another immortal. Which makes perfect sense and is a very good solution. Duncan himself tried this with Amanda and his wife, seen in Highlander: Endgame. It is a very good solution, until you remember that "There can be only one."
Ghosts in Hotel del Luna stay as they are at the moment of their deaths. So long as they never cross over to the afterlife, they will never be reborn while their friends and loved ones do.
Killjoys: Romwell is not happy with his immortality, saying it only leads you to realize how much you've lost as time passes.
L-M
In the Lexx episode "Brigadoom", we find out that the Brunnen-G race had largely become effectively immortal toward the twilight of their existence. They could be killed by unfortunate circumstances, though, and most of the populace was absolutely batshit paranoid about not doing anything that could possibly have a remote chance of having that happen. But when they found out they were going to be wiped out by His Divine Shadow anyway, most decide to not bother putting up a fight and die like animals. A few young ones, born recently and not yet bored with life decide to fight. Their leader, Kai, was punished with the greatest sanction their society had for a prior incident, that punishment was mortality.
Fate not being without a sense of irony, Kai was made a Divine Assassin, an immortal, nigh-unkillable warrior. Kai then comes to wish for mortality so he can experience death properly. This wish was granted by Prince, who's implied to be Satan. Prince being Prince, he chose to do it in the one way that would hurt his companions the most: moments before a suicide run he'd have otherwise survived as a Divine Assassin.
It's implied that it was Kai and the other young ones who were partly responsible for the fate of the Brunnen-G. The planet was protected by an impenetrable shield. Supposedly, not even His Divine Shadow could pierce it. The young ones decide to leave the planet, and their actions result in the shield weakening.
Season 4 of The Librarians 2014 has this trope as a Central Theme through Jenkins and Nicole; both of them ruminate on the isolation due to outliving the ones they love and whether or not an eternal rest is really all that bad.
Lost: due to Jacob's touch, Richard Alpert stops aging for about 140 years, serving as his go-between with Island's inhabitants. After Jacob's death, he's experiencing a mental breakdown due to loss of purpose in his life and asks Jack to kill him, because he can't even do that. However, he is eventually given a new purpose and when another person takes Jacob's place, Richard's gift/curse is lifted from him. Beginning to age again and spotting his first gray hair, Richard realizes that he still wants to live.
A more straight example is the character known only as "Mother." Tired of being immortal protector of the Island, she uses the opportunity to talk Jacob into taking the job from her and then cons his brother into killing her. Her last words to her killer are "Thank you."
After leaving the island, Michael tries to kill himself several times, but can't because (as he discovers from Tom Friendly) the island won't let him do it. In order to die, he has to first return to the island and do the work which it has for him. This is ultimately fulfilled a few episodes later, and Michael is able to die.
Lt. Pierce, aka Cain in Lucifer (2016) has been trying to kill himself since the Bronze Age. It doesn’t take, and he's completely worn down by it, not to mention been rendered coolly sociopathic.
In Season 5, his mother Eve (having been resurrected on Earth in Season 4) refuses a chance at gaining immortality herself, citing what happened to Cain as the reason she can't give up her mortality.
Subverted on The Middleman when The Middleman and Wendy find a guy who has been alive since stealing a magical tuba from The Titanic. The Middleman assumes the man wants to break the curse as he's tired of the agony of eternal life...only for the guy to nonchalantly talk of how awesome immortality is and he doesn't want to lose it at all.
In the British drama series Misfits, Deadpan Snarker Nathan Young is somewhat aggravated by his rather idiosyncratic brand of immortality, not so much because he finds the idea unappealing, but because it only causes him to be resurrected several days after his death. By which time he has been buried alive.
Parodied in Mystery Science Theater 3000. In the final Comedy Central episode, Mike and the bots become sentient balls of light when they reached the edge of the universe. In the first Sci-Fi episode, Mike, Tom, Gypsy and Cambot return... only to find out Crow beat them to it - he literally got bored of it five minutes after transforming, returned to normal and spent the next five hundred years by himself.
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In New Amsterdam (2008), John Amsterdam was given immortality by an ancient spell that will only end when he finds true love. True to this trope, after a few hundred years he wants to do just that.
Laura/Jade from The Outer Limits (1995) episode "Last Supper" doesn't age, is immune to all diseases and poisons, and has an incredible Healing Factor. She grows tired of the endless cycle of having to leave her lovers behind. When her boyfriend learns her secret, he's repulsed, until his father (one of her past lovers) lectures him on how she is a good person who deserves happiness, so stay and love her as long as possible.
Dorian Gray, an immortal being who self-identifies as 'ancient', just spends his time pursuing more and more interesting experiences. In Series 1, he hosts an orgy, attends some plays, and bets on dogs killing rats. He is just immensely bored by it all. Unfortunately, living long enough to have done everything does that.
The antagonist of season two feels this way, Evelyn Poole. She could die if she chose, but even if you're not happy with immortality it's hard to give it up. In the end, staying young and alive becomes an end in of itself much like a chore.
Evelyn: So we must carry on, and earn our reward from the master. Lyle: And that reward? Evelyn: To live forever while the world suffers. Such a sad prize, isn't it?
Cassidy from Preacher (2016) hates being an immortal vampire. That’s the reason he won’t turn his son, Dennis, into one.
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In the show Roar, Longinus is cursed with immortality after killing Jesus. He can change between his form where he looks how old he was when he killed Jesus, and when he looks his actual age.
Helen Magnus from Sanctuary (2007) feels this way after the death of her daughter. Her attempt to find a cure for her immortality ends with a Zombie ApocalypseBad Future, and then a Reset Button to prevent her taking the cure and said Bad Future. Then Helen has to jump 113 years back in time to stop Adam Worth from changing the past. After that's over, there's no way to get back to her own time, so Helen has to live out 113 years in hiding, unable to contact anyone she ever knew and forced to watch horrible things happen without being able to do anything about it to prevent changing history herself, until she finally reaches the point in time she first left. She's 147 when the series starts. At the end, she's more than 270. It's no wonder she's jaded.
S-T
In the Sesame Street special Don't Eat the Pictures: Sesame Street at the Metropolitan Museum of Art, Big Bird and Snuffy meet a young boy whose parents died thousands of years ago, but the boy was put under a curse where he must remain alive forever as a young boy and not join his parents, who have become stars in the sky, until he can correctly guess the answer to the riddle, "Where does today meet yesterday?" The answer is "in a museum".
A few examples on Shadowhunters as it's a world populated by centuries-old vampires and warlocks.
Simon is surprised to find that brutal vampire Raphael (who looks in his 20s) is caring for a senile 78-year old woman. It turns out this is Rosa, Simon's "baby" sister who he's looked after all these decades. She no longer recognizes him, thinking he's just a volunteer but he still cares for her.
In season three, Rosa finally dies and Simon realizes that with her goes the last tether he had to his mortal life. He's shown looking through an album of photos taken over the decades, Rosa aging while Simon stays the same.
Alec is happy with his relationship to 1400-year old warlock Magnus. Going over a box with an arrowhead and dozens of other objects, Magnus says it's meant to be a memento from a man he once loved. Alec thinks the man must have been special for Magnus to collect all his items... until Magnus admits only the arrowhead belonged to that man. Every other object in the box came from a different love of Magnus and he has kept them because it's the only way he can remember them. Alec is rocked to realize that as much as he loves Magnus, one day their entire relationship may be nothing more than just an item in a box with so many others.
When he loses his magic and immortality, Magnus freaks out at the idea of how he can die in 50 years, which is usually an eyeblink to him. He tries to cram as much experience as he can in his "short time left." Alec has to tell Magnus to slow down and that for mortals, 50 years is more than enough time to enjoy life.
It's implied several times by precognitive characters that Clark will have to deal with outliving his human loved ones. He's not looking forward to that.
The character of Curtis Knox from "Cure" actually has had to deal with this multiple times, leading him to commit multiple murders to acquire meteor-infected body parts so that his (current) wife can live forever with him, since he is immortal. He's like a worst-case possible future version of Clark (made more pointed by the fact that Knox is played by Dean Cain), crossed with Vandal Savage.
One storyline on Soap involved Burt being abducted by aliens, one of whom takes Burt's place on Earth. At one point Burt encounters his alien double, who points out to Burt that as long as he's in space, he'll live forever, which Burt actually doesn't want (and neither does the alien).
The inhabitants of the World of the Immortals suffers from this in Spellbinder: essentially a group of Georgian-era nobles made immortal by a botched cure for world-ending plague, all of them are infertile. Without children, their society is hopelessly stagnant, to the point that the only real creativity demonstrated by the Immortals is in the construction of automatons- especially automatons that can mimic children. And then Kathy shows up...
Referenced in the Stargate SG-1 episode "Tin Man". A robot alien named Harlan makes robot duplicates of SG-1 because he's the last of his kind and he's lonely. Harlan explains that most of his companions chose to end their lives as immortality didn't suit them. At the end of the episode, the robot O'Neill tells Harlan "people weren't meant to live forever." Harlan, at least, falls squarely under Living Forever Is Awesome.
"Metamorphosis": Zefram Cochrane, the inventor of the warp drive, was given eternal life and youth by "The Companion", an amorphous cloud that had fallen in love with him.
Zefram Cochrane: Believe me, Captain, immortality consists largely of boredom.
"Requiem for Methuselah": The immortal Flint, who had lived over six millennia (and who is said in a few of the non-canon Star Trek novels to still be alive more than a hundred years after he was stated to be dying). He complains of "a fragrance, a brief scent, then dust and the taste of death".
In "The Survivors", the crew of the Enterprise untangle the mystery of Kevin and Rishon Uxbridge and ultimately learn that Kevin is a member of the Douwd, an immortal of incredible power. He settled down with Rishon until a warrior race known as the Hunsock attacked the colony Rishon lived at. When the war cost Rishon her life, Kevin eradicated the entire Hunsock race in a fit of grief and rage, desperately wishing he could have died with her.
In "Time's Arrow", Data discovers his own severed head from centuries in the past, implying that despite his agelessness, his death is still inevitable), Data said he took comfort in the idea of being mortal, since otherwise it would mean that he would likely outlive all of his friends, family, and everyone he's ever cared about. Then he would make new friends and people he cared about... and outlive them as well.
Star Trek: Voyager: The episode "Death Wish" centered around a member of the Q continuum, who dubbed himself "Quinn", that wanted more than anything to kill himself after growing bored with eternal omnipotence, and who had been imprisoned by the continuum to prevent that from happening.
Star Trek: Picard: The episode "Et in Arcadia Ego, Part 2" reconfirms Data's relief over being able to die as Picard's consciousness meets with Data's when the former is "reborn" as a Synthroid, the latter having been uploaded into a new private network based on scans taken just before his destruction. After he tells Picard about where he is and how he (Data) was still active, he requests to his former captain to shut down the simulation he's in as he feels that he isn't really alive if he was just stuck in something like this. Picard agrees and Data's allowed to pass on when the simulation is finally deactivated. As well, Picard's new android body is set up so that he could ultimately pass on as well after the designers heard Picard confirm that he wouldn't want to be immortal, only intended to let Picard live the life span he would have if he didn't suffer from the brain embolism that killed him.
In "The Curious Case of Dean Winchester", a witch runs high-stakes Poker games for years of life instead of money. The witch is an expert player and has managed to extend both his life and that of his girlfriend for centuries beyond their natural limit, although occasionally he deliberately loses in order to, for example, give an old man a few more years, so that he can watch his grandchild grow up. The witch himself thinks this is pretty swell, but his girlfriend, having watched her daughter die of old age, is sick of it. She ultimately decides to give her husband all of her remaining years and dies at the end of the episode.
As a contrast to the immortal Captain Jack Harkness, in the second series of Torchwood, after Owen Harper dies and is resurrected, there's an entire episode about how his life sucks now that he's super-undead. Great quotes include "You get to live forever... I get to die forever," and "I can't drink, I can't sleep, I can't shag... and those are three of my favorite things." Also, he doesn't heal anymore, leading to inconveniences when he slices his hand open with a scalpel. Admittedly this is more about the character having to live through being dead rather than having to live forever, but it's pretty close. Indeed, Jack's distaste for his own immortality means he probably regrets choosing to resurrect Owen, which he didn't know would last more than a few minutes.
In Children of Earth viewers are frequently reminded how horrible it would be to have Jack's immortality. Despite seemingly coming to terms with his 'condition' in series three of the new Who, his weariness towards his immunity to death appears to be rekindling.
The Miracle Day series shows us what happens when every human being gains immortality but without Jack's Super Healing Factor. People live on as heads with the rest of their bodies destroyed and some people engage in horrific processes to make sure their enemies are destroyed beyond any recovery. On top of that you have all the logistical, political and religious issues inherent with an undying population.
2000 year old Godric from True Blood becomes weary of his existence and chooses to expose himself to sunlight at dawn.
In "Escape Clause", Walter Bedeker makes a Deal with the Devil for immortality. He uses his new situation to commit a series of insurance fraud scams by jumping in front of buses and under trains but the thrill of cheating death over and over again eventually fades. After his wife Ethel falls to her death while trying to prevent him from jumping off the roof of their apartment building, Walter confesses to having murdering her. He is looking forward to the experience of being sent to the electric chair. However, he is instead sentenced to life imprisonment. In order to avoid the unimaginable boredom of being confined for millennia, Walter exercises his escape clause and has the Devil end his life.
In "Long Live Walter Jameson", the title character is an immortal who has lived for more than 2,000 years. He admits to his close friend Professor Samuel Kittridge that he has grown tired of his eternal life, but he does not have the courage to bring it to an end. He sits with a revolver in his hands every night and hopes that this will be the night that he will force himself to pull the trigger. Laurette Bowen, one of the many wives that Walter deserted as they grew old, finally puts him out of his misery and shoots him. He is quickly reduced to dust.
The Twilight Zone (1985): In "The Last Defender of Camelot", Lancelot has grown weary of immortality after 1,000 years and tells Morgan le Fay that he would welcome death to put an end to his pain and guilt over betraying King Arthur through his affair with Guinevere.
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Waiting for God: Alluded to. The aging expert Tom consults suggests that with the right lifestyle and attitude, seniors could live far longer. Diana is not amused by the prospect of an extra twenty to thirty years at Bayview.
In Warehouse 13, the Count of St. Germain was made immortal by his brother Paracelsus. He personally doesn't seem to mind but his wife and teenage son Nicholas were immortalized as well, and Nick in particular is a bit angsty about having all his girlfriends lose interest in a 15-year-old boy then marry someone else, grow old, and die. So his mother busts his uncle out of the Warehouse's bronze sector thinking he can reverse it.
In the Witchblade episode "Lagrimas", Sara meets a man currently going by the name Daniel Germaine. Daniel was a Roman prison guard who abused Jesus on the way to the Crucifixion. Jesus cursed him to live until the Second Coming and Daniel spent the next two millennia trying to find a way to end it. Turns out that the Witchblade, a weapon of divine origin, is his way out.
In "The Man Who Could Not Die", the newly immortal Bryce Candle is taunted about watching his loved ones grow old and die.
Wonder Woman herself is potentially an example, having in season two outlived Steve Trevor, Sr. and her other companions from her World War II adventures. She will at least have her Amazon sisters with her but they may fall victim to the trope as well.
X-Z
The Xena: Warrior Princess villainess Callisto eventually got sick of her godhood-induced immortality when she had nothing to live for and wanted Xena to kill her with the Hind's Blood Dagger, but Xena refused to give Callisto what she wanted until she saw Gabrielle perish, realizing that Callisto now had something worth living for.
In the sixth season episode "Tithonus", a photographer documents violent crime as soon as it happens in the hope that he will see Death and be finally able to die: two hundred years ago, he was dying in the middle of New York's typhoid fever outbreak but managed to look away just as Death was coming for him, which caused the nurse at his bedside to die in his place. When Scully says that immortality would allow you to learn and experience and love new things, he ruefully says that he can't even remember his dead wife's name. At the end of the episode, Scully is mortally wounded, but the man convinces her to look away from Death — he dies in her place, meaning that Scully is now immortal. This explains the psychic's answer in the episode "Clyde Bruckerman's Final Repose" when Scully asks him how she will die: "You don't."
Part of the reason Jenn is a Jerkass Genie in the seventh season episode "Je Souhaite" is her exasperation after centuries of granting stupid wishes to foolish and greedy people — her predecessor took advantage of her wish for a long life to transform her into a fellow genie. Mulder asks her what she would wish for if she could; she says that she'd like to just sit in a coffee shop and watch the people go by; he finally uses his last wish to free her and let her be mortal again. She's clearly overjoyed, shown smiling happily in a coffee shop, watching the people go by.
was made immortal by his brother Paracelsus