Cheers: Coach wants to see Sam and Diane get married - his fantasy of their union involves him living with them. He was visibly distressed in Season 3 when he saw Frasier and Diane dating, so much so that he began to employ this on Sam, Diane, and Frasier. He privately tells Sam that if Diane doesn't work at the bar, she'll go mentally ill again. He privately tells Diane that if she doesn't work at the bar, he'll hit the bottle the second she leaves. He then privately tells Frasier than if she doesn't work at the bar, she'll fantasize about Sam, and if they work at the bar, they'll continually snipe and start hating each other.
Austin and Ally Dez is an avid shipper of Austin/Ally.. He even has 500 'TEAM ALLY' shirts made. (he wears one excitedly when it becomes canon)
Zoey Carter from Eureka ships her father Jack with Allison. Then again, at one point she seemed just as happy with the idea of him being with Jo.
For most of series the rest of the gang (especially Phoebe, who helped them unite in the final episode) were this for Ross and Rachel. Later episodes have the other three losing enthusiasm (Joey struggling with his own feelings for Rachel, Monica and Chandler sickening of the Will They or Won't They? saga and busy their more stable relationship). But they're all happy when they get back together. Monica also shipped Ross/Emily at one point.
Joey was dating Erin. He asks the girls to break up with her for him. Too bad the gals started talking. Cue Phoebe saying "We want you to marry her!"
Ironically Monica once shipped Chandler/Kathy while Chandler seemed to ship Richard/Monica and Pete/Monica. This naturally changes later, and actually causes a few issues when he thinks she still loves Richard.
Rachel also shipped Monica/Pete.
Joey is captain of the Chandler/Monica ship including helping hide their Secret Relationship and officiating at their wedding. This quote pretty much sums up his feelings:
Joey: "You guys are perfect for each other. Y’know, we look at you and-and we see you together and it just…it-it fits. Y’know? And you just know it’s gonna last forever.
Ross also gets on board the Chandler/Monica ship when he realizes its serious and is thrilled at Chandler becoming his brother in law.
Wilson was the main cheerleader for House/Cameron (until the ship-sinking episode where he warned her not to hurt him) and House/Cuddy, which hasn't been sunk. Yet.
Wilson was present when House torpedoed it.
Wilson just wants his beloved to be happy; for the good of House's mental health he needs to build a social network with people who aren't hookers or Wilson, so Wilson usually jumps at any opportunity to encourage his best friend's possible relationships/friendships.
The last dragon comes off as a Merlin/Arthur shipper with lines like: "A half cannot truly hate that which makes it whole", earning it the Fan Nickname "The Slash Dragon".
As does Merlin's mother Hunith, the way she says thing like: "He must care for you a great deal", "He's here for you", and "He likes you".
In the first few episodes, it was hinted that Gwen shipped Arthur/Morgana and Morgana shipped Merlin/Gwen. All that changed pretty quickly, though.
Starting in the second season, Merlin becomes a die-hard Arthur/Gwen shipper. In fact, his shippage saves the day at least once. In a season four episode, Merlin takes on a Die for Our Ship mentality when he snubs a perfectly harmless visiting princess who has designs on marrying Arthur. In a Flash Forward to a scene in which Arthur is King and crowning Guinevere his Queen, Merlin is seen watching them in the audience. The look on his face is Joy personified.
Gaius also ships Arthur/Gwen as he tells Gwen in "The Last Dragonlord."
All the Knights of the Round Table (sans Lancelot, obviously) ship Arthur/Gwen, judging from their grins when the two kiss in front of them at the very end of season 3
Dean does this on occasion for Sam, notably with Sarah Blake and Meg Masters (before learning she is a demon) in the first season after Jessica's death.
Naturally, Dean also encourages his mother Mary to stay with John despite her father's disapproval.
Dean: Hey, I wanted to – to tell you, you know for what it's worth. Um... it doesn't matter what your Dad thinks, I like that John kid.
Mary: You do?
Dean: Yeah. Yeah, I think you two are meant to be. (softly) Hell, I'm depending on it.
After witnessing their Kiss of Distraction, Dean jokingly remarks he would let Castiel have Meg to himself for an hour before they kill her.
Balthazar, in turn, seems to ship Dean and Castiel, although he may just be making a sardonic point about Cas' allegiances.
Most angels we meet seem to ship Castiel with Dean, with frequent allusions to how much Castiel likes Dean, how he was lost to Heaven the minute he rescued Dean from Hell, trying to break Castiel's will by killing multiple copies of Dean, etc. Crowley seems to be in on it sometimes too.
Seen in Season 1 and 2 with Willow strongly supporting and pushing for Buffy to get with Angel. Probably justified in the fact that she probably wanted to remove any chance, slim as it was, of Buffy/Xander.
In Season 2 Buffy pushes Willow towards Oz.
Xander is a Buffy/Riley shipper; in season 8 he says he "always was Team Riley". It's probably justified by the fact that unlike Angel or Spike, Riley never tried to kill him or his friends. Willow also ships Buffy/Riley for a while ("Do I have to tie you two together?").
Meanwhile, Andrew, in the same season, said, "Now that I've met Angel, I have to say — Spike was so much edgier. You definitely traded up. I'm totally Team Spike."
Buffy is at least supportive of Xander/Dawn.
And the First, who is, on some level, the people he turns into (he has their memories and stuff), was a Buffy/Faith shipper which means the Mayor likely was as well and the Mayor knew Faith better than anyone...
Faith is a shipper of Buffy and Xander and then of Buffy and Angel before her Face-Heel Turn.
River seems to ship Simon/Kaylee, at one point calling him a "boob" after his latest screw-up with her. Given that it's River, it doesn't really make much difference. Until the movie, when she gets better, and so does the relationship. Coincidence?... yeah, probably.
It's made quite clear that she does ship it in the novelization of Serenity. She calls him too stupid to live for messing up with Kaylee. Heck, a good part of the crew apparently ships Simon and Kaylee, usually getting annoyed with Simon when he inadvertently blows a potentially good moment between them. And we cannot forget Jaynetown, when Mal conveniently decides to let Kaylee and Simon remain on guard together in a bar — after she hints to him that "things are going really well."
The crew in general seems to ship Mal/Inara. In the movie, they eavesdrop on their video conversation, going as far as throwing popcorn at the screen when Mal avoids saying things like he missed her, etc. It's almost Everyone Can See It, because even Jayne is entertained by it. Only Zoe seems hesitant about it, or maybe grudgingly accepting or resigned. It's hard to tell with her.
Goes even further in the comic book Those Left Behind. Wash finds Mal about to knock on Inara's shuttle, working up the courage to apologize for earlier bad behaviour, and tries to offer Mal advice and encouragement... Despite Mal threatening to remove one of Wash's arms. Shipping is a dangerous business.
In Dollhouse, Echo ships Victor and Sierra quite a lot. She even gives them the opportunity to run away together after they've all been imprinted with their original identities, though they decline her offer in order to help her fight Rossum.
Angela acts like this with regard to Bones and Booth, though most of the time she is fairly subtle about it. Sweets, on the other hand, is not. He often becomes frustrated in their sessions over their thick-headedness, and has on more than one occasion yelled at them to just admit their mutual love and get together. He even ends up being the one who prompts Booth (with more exasperated yelling) into admitting his feelings to Bones. Sweets even has written a peer-reviewed paper on the subject.
And Gordon spends time discussing it with Sweets.
Also Caroline, given her mistletoe scheme in Season 3.
That entire show is made up of a supporting cast who wants the two of them to hook up. Bones' dad, Booth's grandpa, random people that are working cases with them... Angela is actually one of the worst shippers on the team, as she seemed fine with Booth hooking up with Cam and wanted Bones to take off on a year-long sabatical with her boyfriend at the time. But everyone else on that show is a die-hard shipper.
Hodgins doesn't seem to care much one way or the other.
Natalie of Sports Night spends a lot of time cheerleading the potential hookup of Dana and Casey.
In the episodes "Do I Know You?", "Mosbius Designs" and "The Leap" Marshall and Lily are Barney/Robin shippers. Quite appropriate, considering Barney is the President of the Marshall/Lily Fan Club, meaning that the man who hates marriage flew across the country to get Lily to come back to Marshall.
Ted, Barney, and Robin all ship Marshall/Lily quite fanatically. Once, when they mistakenly thought the two were divorcing, the three of them wound up curled up miserably on the kitchen floor stuffing themselves with ice cream.
Marshall once made a bet with Lily that Robin would end up with Ted, a pairing he's stood by against all odds (poor Marshall). Which makes this a basically canonical shipping war.
Curtis, the desk clerk who continually and obnoxiously pities Ted, gave the Mother after she turned down her boyfriend's wedding proposal room 6 - the room directly next to Ted's. Given the little smile he gives her, he knew what he was doing.
Fun double example in Skins; Naomi ships Effy/Freddie almost as much as Effy ships Naomi/Emily.
Sylar and HRG both ship Gretchen and Claire. Although unintentionally on HRG's part.
Sylar shipping Gretchen and Claire is made somewhat hilarious by the fact he has a bit of a stalker crush on Claire due to his fear of ending up forever alone. (They're both immortal and are the only two immortal characters at the moment.) However, the show seems to be favoring the Peter/Sylar subtext right now.
Donna ships Doctor×Rose. So does Jack: "You two are so sweet. [...] Continue with what you were... doing." (Though he obviously wouldn't be averse to the idea if they'd be willing to share.)
The Eleventh Doctor quite actively ships Amy×Rory. To the point of taking the two on a romantic holiday to 16th century Venice to fix their relationship. And quite possibly... to the point of manifesting an elaborate dream reality to push the two of them together. Not to mention when Rory shows up in "The Pandorica Opens", Eleven urges him to talk to Amy and try and work things out, regardless of the fact that Amy doesn't even remember Rory existed.
Judging from the look on his face during Amy and Rory's wedding, the Doctor was just as happy as the fandom—if not more so—at seeing the two get hitched.
Granted, though, while part of it is him shipping Amy/Rory, it's also part being anti Amy/himself. Which Amy tried to do.
Eleven now wants Amy and Rory to make babies. Seriously. He said it. And they do. River.
Eleven is fully on board with this ship, he even went as far as to pause his big save the world event to try and hook up Amy and Rory in an alternate universe that he was 5 minutes away from completely destroying anyway.
In "Asylum of the Daleks", he tries to get Amy and Rory, now separated, back together. Judging from the end of the episode, Amy and Rory are at least willing to try and work it out.
Amy, for her part, appears to gleefully ship Doctor/River, with comments like, "Oh, she is so your wife" and "Ooh, Doctor, you sonicked her!"
And let's not forget the shippage performed by Mels a.k.a. River Song at the beginning of "Let's Kill Hitler".
Those last points get really weird now that we know River is Amy and Rory's baby.
Many of the companions also seem to happily acknowledge the presence of The Doctor/TARDIS.
And in the episode The Mark of the Rani, the Rani seems to ship Doctor/Master, seeing as she spends most of the episode basically telling them to get a room and leave her in peace.
Allison was this in season one in regards to Stiles/Lydia, though she's backed off a bit in season two.
Despite a fair bit of grumbling, Stiles is this for Scott/Allison.
In the second season Matt seems to be a shipper of Derek/Stiles, trapping them in a pool together for two hours and later paralyzing Stiles so he falls on the already paralyzed Derek, saying "I think you two make a pretty good pair."
In episode 205, Jackson seems pretty intent on getting Danny to pursue his crush on Matt.
The Secret Circle: Ethan is a hardcore Cassie and Adam shipper, believing that they're destined to be together. He even convinces Diana to break up with Adam.
The Vampire Diaries: This trope is seen multiple times with various pairings: The most common example is probably Caroline as a Stefan/Elena supporter; she claims that their love is "epic" and that they deserve each other.
Jenna, Jeremy and Lexi, like Caroline, also support Stefan/Elena.
Klaus is the biggest Stefan/Elena shipper on the show next to Caroline.
To Damon about Stelena in 3.11:"Crazy or not, that kind of love never dies."
To Stefan in 3.21:"And that is what makes you her (Elena) better option. It's a shame that it's not easier for Elena to see it, I mean, personally, I think she's wasting her time with Damon."
To Stefan and Elena in 3.05:"Now this is fascinating, I've never seen this before. The only thing stronger than your (Stefan) craving for blood, is your love for this one girl (Elena)."
To Damon in 4.13:"Must be hard trying to live up to Stefan. I remember when I compelled him to feed on Elena, he fought so hard, he actually managed to resist. Now that's love. Personally, I don't see a fairytale ending for you. All I see is Stefan and Elena. I think you see the same thing."
Klaus ships Tyler/Hayley because that would get Tyler out of the way for him to be with Caroline (unfortunately for him, it didn't go that way).
Also, Rose clearly identified herself as a Damon/Elena shipper in the episode "Heart of Darkness".
Rose: *to Jeremy about Damon* "Tell him I'm rooting for him and Elena."
Surprisingly, Katherine even realizes that Stefan/Elena will always have a connection, no matter what.
Katherine to Elena: There's still a connection between you two (Stefan and Elena). Maybe, deep down, you know that he's your one true love and breaking up with him was a big mistake.
Silas, the Big Bad immortal seems to be in favour of he and Amara's doppelgängers, Stefan/Elena, being together and he also seems to be very anti-Delena and he makes it highly known as much as possible, even to Damon's face.
Even Qetsiyah realizes that Stefan/Elena were destined and meant to be together.
Qetsiyah to Damon: Destiny has been trying to get the doppelgängers together forever. Silas had Amara and Stefan has Elena. As long as Stefan is in the picture, you will never be with Elena. You and I are the same, Damon. The obstacle standing between two fates."
Torchwood gives us Martha shipping Jack/Ianto. When she finds out about their relationship, she seems very excited by the prospect.
Martha: So, am I right in thinking that you and he...? (*pulls an unforgettable expression*)
Blair's maid/nanny/sidekick Dorota ships Blair and Chuck on Gossip Girl. Serena sometimes joins the ship, but just as often seems to dislike the idea of the two together. Blair's parents and their respective husbands seem to be Chair shippers also.
Michael has been a huge Jim and Pam fanboy since the day Jim told him about his feelings for Pam.
Pam, for Andy and Erin. She also ships Oscar with Matt from the warehouse: "Yes, they're the only two gay guys I know. But they should be together."
Parksand Recreation: Ann ships Leslie/Ben. Ann agrees to help Leslie "anti-seduce" Ben when the two are sent on a trip together (they like each other and know it, but cannot date due to a rule about government employees), but does her best to sabotage the plan and tells the camera point-blank, "I want them to get together. Sue me!"
Ron somewhat begrudingly ships April/Andy throughout the third season, being two people whose company he enjoys and acts as a parental figure to them.
The Mentalist: Cho for Rigsby and van Pelt, of the "Tell her how you feel, you idiot!" variety.
In season six, FBI Agent Abbot seems to ship Jane and Lisbon of all people, in spite of the fact that he has only reluctant respect for Jane and only hired Lisbon because Jane made her presence a requirement. When she considers moving to Washington with her current boyfriend, he sets the two of them up on a nice dinner (granted, with the premise of looking for a suspect) and even makes comments to Jane implying he needs to man up and tell her exactly what he wants. He's more subtle about it than Cho, either because he thinks pushing too hard will actually drive the two of them apart, or because Jane's not quite as thick-headed as Rigsby.
In That '70s Show, Fez, despite being attracted to Jackie (and winning her in the last seasonfor some reason), tries to get her and Hyde back together when they split up. Also, in the final season, Kitty can't get over the fact that her son Eric and Donna broke up and tries to convince Donna to wait for Eric to come back instead of going out with Randy.
Lanie, The Coroner and Beckett's best friend, ships Castle/Beckett, and is quite open about it.
The other detectives are a little more subtle about it, until the season 2 finale, when one of them openly tells Beckett that Castle's not gonna wait forever. She breaks up with her current boyfriend but a little too late, as Castle has gotten back together with one of his ex-wives.
Beckett's dad, Castle's mom and even Capt. Montgomery are shipping Castle/Beckett.
So does Captain Gates. If Castle and Beckett are professional at work,of course.
Seymour from Burn Notice ships Michael/Fiona — he's been seen geeking out over how awesomely passionate two Badasses like them must be in bed. And he made them matching throwing daggers. Same with Michael's mother (the shipping, not the daggers). Sam... comes around.
The Nanny Pretty much every character except for C.C. is a shipper Maxwell and Fran, but especially Niles, who could be downright Anvilicious about it, to the point where, when Maxwell tells him he's going to propose, Niles' expressions of happiness sound more like he was getting proposed to. Plus, he's often tricking C.C. into advancing their relationship. It culminates in a fantastic monologue from Niles to Maxwell towards the end of season five.
Maxwell: Niles, I don't know what the woman wants anymore! What am I supposed to do?
Niles: May I speak freely sir?
Maxwell: Yes of course old boy.
Niles: I am so bloody sick of hearing this year after year. 'Niles, what am I to do? I told her I loved her, I took it back, I'm afraid of commitment, I'm worried about the children.' (Maxwell is backed onto the couch, and Niles yanks him up by his lapels, shaking him) For God's sake, make a move! Do something! You passed on Cats, do you want to regret this for the rest of your life too?! (pushes Maxwell back down on the couch and storms out)
In Smallville Lex is a Clark/Lana shipper until he starts expressing interest in Lana.
In Stiletto, Chloe finds a "Bluretto" fansite, which pairs the Red-Blue Blur (Clark) and Stiletto (Lois). Chloe is actually rather supportive of this. In fact, for most of the later seasons, Chloe is very encouraging of the Clois ship.
In Escape, Clark makes a thinly veiled attempt to get Chloe together with Bart. Given his past record, it is completely ineffective.
Casey seems to take great delight in ribbing Chuck about his affections for Sarah. After being relieved of duty for treason, Casey outright tells Chuck to get Sarah back before too much damage is done. And a couple episodes later, he risks invalidating Chuck's new appointment as a spy and getting charged with murder in order to sidestep the complication that's making Sarah hesitate to continue the relationship.
Jeff believes that Hannah, Jill, and Lou are just time-fillers while Chuck pines for Sarah.
Hells, even Beckman is ultimately outed as a Chuck/Sarah shipper.
A Seinfeld episode had Kramer concluding Jerry and Elaine's angry squabbling was a sign of undeclared love; he kept trying to get the two crazy kids to face their true feelings.
One of the strangest examples of Shipper on Deck would have to be Little John on Robin Hood who encourages Robin to hook up with Kate. Not only does he try to get Isabella out of the picture by informing her that Robin quite fancies Kate (which at that stage, is a Blantant Lie and leads to Isabella becomingAx-Crazy), but he tells Robin that Kate is a "treasure" that he shouldn't let slip through his fingers. It's unclear why John would want this hook-up to take place; as the Team Dad, he has disapproved of outlaw relationships in the past, and he already knows that Much is harboring a crush on Kate: therefore, any relationship would inevitably divide the outlaws. Neither does it seem to occur to him that Robin may simply not want another relationship so quickly after Marian's death and his breakup with Isabella. Some fans speculate that he wants Robin to be aligned with a peasant in order to force Robin to concentrate on the poor rather than politics, but this seems rather Out Of Character for him. Then again, there was very little in Season Three that made much sense.
Ashes to Ashes: There are more than a few indications that Shaz ships Gene/Alex, and Luigi's blatant in his shipping of Alex/Every Attractive Man in London (Thatcherite Wanker, Evan, Keats, and eventually, Gene). Alex herself is not entirely unaware of the rampant homoeroticism floating around the station, particularly with Gene and Litton.
Mrs. Benson in iCarly at first seemed to be a Creddie(Carly / Freddie) shipper in Season 1, even going as far as to demand the reason on why Carly can't love him.
Mrs. Benson: "WHY WON'T YOU LOVE MY SON???!!!" Freddie: "Mom!"
In season 3, she flip-flopped and turned against Carly, blaming Carly for Freddie getting hit by the truck in iSaved Your Life and for Freddie deciding to move out during iMove Out:
Mrs. Benson: "You're the one who got Freddie interested in girls, and ever since then his boy chemistry's been all out of whack."
iStart a Fanwar reveals that there are countless in-universe shippers for both Seddie and Creddie.
Due to the repeated and flagrant Ship Tease on the show pretty much every character has been on deck for another ship. Spencer has acted at times like he shipped Sam/Freddie, Carly fixed the Seddie relationship in two episodes in a row, and physically pushed the two of them to kiss again. Sam has teased an in-universe shipper crowd by declaring that Carly and Freddie are deeply in love. The trio has been on deck with certain relationships of Spencer's as well.
Taylor Earhardt (the Yellow Eagle Ranger) from Power Rangers Wild Force is the first one to notice the UST between Princess Shayla and Merrick. And lo, is she pleased when she does...
Since we've mentioned Time Force, Trip and Katie (and eventually Lucas, too) desperately want Wes and Jen to get together. Especially after Jen's fiance from the future, Alex, is shown to be Not Quite Dead... and not the guy she thought he was.
It's implied that Kira may have been this for Devin and Cassidy when she says, "I thought those two were never gonna get together" in the Power Rangers Dino Thunder finale. (Which is a bit rich, considering her deal with Trent...) Conner's actually the one who gives Devin the final push (but he doesn't know who the target is.)
Fran Katzenjammer in Black Books. She blocks Bernard's attempts at romancing women in a couple episodes, but repeatedly encourages his attachment to his shop assistant, Manny.
Made all the funnier by actress Tamsin Grieg's public comments on the sexual tension between Bernard and Manny.
Just about EVERY minor character in Sherlock ships Sherlock/John. "I'll get a candle for the table. Nice and romantic."
Oh, it goes well beyond just minor characters. Take Mycroft:
Mycroft: Might we expect a happy announcement by the end of the week?
Mrs. Hudson: There's a second bedroom upstairs, if you'll be needing two rooms.
John: Well of course we'll be needing two rooms!
Mrs.Hudson: Oh, don't worry dear, we have all sorts about here. Mrs. Turner next door's got married ones.
Honestly, pretty much everyone in this series seems to take them for a couple. For an extra writer's bonus, in the original canon Mrs. Hudson and Mrs. Turner are the same person.
The season 3 premiere has Anderson (Anderson!) who pictures Sherlock kissing Molly and a girl who theorizes that Sherlock and Moriarty are lovers.
For his part, Sherlock avidly ships John and Mary, who are Happily Married.
A literal example: early on in season 3 of Farscape, Talyn (a sentient space-ship) continuously tries to antagonise John and contrive more and more situations where Crais and Aeryn are alone together, going even as far as making a fake video of Aeryn and Crais hooking up just to piss John off. And he does weird things to the heat in whatever room those two happen to be in. This is just Talyn being an angsty teen who doesn't want John getting anywhere near his adopted aunt, or really is him trying to get them together.
The "turning up the heat" thing makes an especially creepy amount of sense, as both Aeryn and Crais are members of a species which can't regulate their internal heat correctly, so increased heat makes it harder for them to function properly and causes worse decision-making.
CJ, Josh, Sam, and especially Charlie vigorously ship Toby/Andi in season 4, going as far as to call themselves "Team Toby" (Toby wants to remarry Andi, Andi doesn't agree, though she infuriatingly seems to relish his advances). The Bartlets also express support for Toby's attempts, and Leo has quietly played matchmaker even before the rest of the staff jumped on the bandwagon. Humor fanfics that ignore the widely-derided post-Sorkin seasons often ratchet both the wooing and matchmaking up to hilarious levels.
In The Vicar of Dibley, Geraldine shipped Hugo and Alice, going so far as to invite both of them to her house at the same time in order to initiate their first kiss. After yelling: "OH FOR HEAVEN'S SAKE, JUST KISS YOU MORONS!" the plan goes a little too well.
In Lie to Me, Emily Lightman is a big fan of her father Cal getting together with his partner Gillian.
Emily: (to Gillian) He's happier when he's with you.
Judging by how quickly the Warblers went from utter mortification/indignation to total support when they realized who Blaine wanted to sing a duet with at Regionals, it's safe to say that they are Kurt/Blaine shippers. That smug little smile on the usually stoic Wes's face as he raises his hand speaks volumes.
Finn, Puck, and all of the New Directions girls (minus Santana) seem to ship it too. Finn and Rachel's first concern when they thought Kurt was cheating with Sam was Blaine, Puck seemed genuinely moved by their "Candles" duet, and all of the girls got excited when Kurt revealed that he was going to prom with Blaine. Seriously, they make it as clear as possible what the writers intentions for this couple are. When Kurt and Blaine are broken up, Tina urges Blaine to call Kurt.
Kurt's father Burt most definitely onboard this ship. He has twice reminded Kurt not to push his loved ones away (both were when Kurt and Blaine were going through a rough time). The second time, when they're broken up, Burt goes as far as flying Blaine over to New York so they can spend Christmas together. Burt watches the two rekindle their friendship with a look that is both very satisfied and very hopeful.
Tina is this for Finn and Rachel.
Sugar for Brittana.
When Blaine goes to ask Kurt's father Burt for his blessing to propose to Kurt, he tells him not to, but only because of their ages. Burt tells Blaine that when things are meant to be like he thinks they are, everything works out in the end.
Seemingly everyone ships Kurt and Blaine together by season five. When Blaine was planning to propose to Kurt, nearly all of Ohio joined in to make it special, including their rival show choirs. Then when it actually happened, everyone looked genuinely happy for them and many were close to tears. Including Kurt's dad.
In the Swedish kids' TV series Eva & Adam, the title characters, who are girlfriend and boyfriend, try to get their respective best friends together. It...almost works.
Kitaoka and Reiko spend most of Kamen Rider Ryuki dancing around each other (he hits on her, she rejects him and claims to find him despicable, yet somehow is always hitting him up for help). In the end, Reiko's workmates Shimada and Megumi end up campaigning for Reiko to finally agree to date him. She says yes, but he dies before going on the date. It's also subverted when Shinji figures out that Kitaoka is in love with Reiko, and threatens him with physical violence if he doesn't stay away from her because he thinks Reiko is too good for Kitaoka.
In Kamen Rider Fourze, Yuki and JK both ship Ryusei/Tomoko: Yuki gives them a couples ticket to space together, and JK reacts excitedly when Ryusei asks Tomoko to visit him at his school and admits that he's not dating Shirakawa.
Later on, everyone furiously ships Frasier with his new girlfriend Claire, except for Daphne, who is jealous of Claire's doting rapport with Martin and Martin's lovestruck desire to get Claire as a daughter-in-law, since she sees this as Parental Favoritism, with Claire as competition for Martin's attention.
Brothers Vince and Dave Teague on Haven ship Nathan/Audrey, and even attempt to give Nathan advice on the subject - in a clumsy and awkward way.
Shirley on the first season of Community actively shipped Britta/Jeff. It was implied this was an outlet for emotions from her own deteriorating marriage.
Abed shipped Jeff/Britta in the first season and Jeff/Annie in season 3.
And Annie shipped Troy/Britta in season 3, setting them up on a date together.
When Odo expresses concern about Lwaxana Troi's interest, Sisko is amused and actively encourages him to pursue it, although he does reluctantly accept Odo's refusal.
Most of the crew seem to ship Sisko/Kassidy Yates, particularly Jake and Dax.
Awkwardly, Ziyal is a shipper of Kira/Gul Dukat.
Quark is the main shipper of the Kira/Odo relationship for most of it's run. Vic Fontaine also does so in the episode where they finally get together. Dax, for her part, appears to be a shipper of Kira/Odo and Kira/Shakaar.
Towards the end of the final season, Worf recovers from his jealousy enough to encourage Ezri to pursue Bashir, although he doesn't seem to believe they will last. Miles is also a Bashir/Ezri shipper.
The closest we ever get to explicit Sheppard/Teyla pairing (the Take That Kiss doesn't really count) is Ronon's hardcore shipping of the two in "Sunday." Ronon can't be the only one on the Sheyla bandwagon but he is the only person to vocalize it.
On the other hand Weir admitted she shipped Kanaan/Teyla before they were a couple, commenting everytime Teyla spoke about him "her eyes shone".
Then we have Kolya of all people seeming to ship either Mckay/Shepperd or Sheppard/Weir, if only to manipulate them to his advantage. In almost every hostage situation he threatens to kill one of them in order to blackmail the other. Never another member of the team, just them. Clearly he thinks there is something going on there. He also has a tendency to use both of them to verbally antagonize Shepperd. When he had the entire team hostage once, he made a point about killing McKay first.
Pretty much everyone ships Sheldon and Amy (or "Shamy" as they call them), mainly because up until that point they thought Sheldon was an asexual man of science.
Sheldon shipped Leonard/Dr. Stephanie in season two, mostly because he found Penny annoying.
Leonard has shown his support of Howard/Bernadette.
Penny's dad is a very very vocal Penny/Leonard shipper (Leonard is the only guy with brains she's ever gone out with).
Sheldon's mom seems to be a fan of the pairing, calling them a cute couple as early as season one before Penny was even fully aware of the crush Leonard had on her.
Bernadette and Amy are also Penny/Leonard shippers, mainly because they know Penny only pretends to be okay with Leonard moving on to other girls.
Sheldon has become a Penny/Leonard shipper accidentally. While he doesn't exactly like the pairing, he hates change and has grown accustom to the pairing
Penny also got unbelievably excited when Sheldon admitted he might consider a sexual relationship with Amy eventually.
On The Closer/Major Crimes, the Ho Yay between Flynn and Provenza isn't overwhelming or anything, but it is there occasionally. And then, in season 7 of The Closer, it's revealed that Provenza's four ex-wives considers Flynn to be the fifth.
D.B. got into this a little bit with Greg and Morgan on CSI: Crime Scene Investigation. And Ray was at least supportive of his ex getting remarried, until her fiance got killed.
Pretty much the entire cast is shipping Matthew/Mary. A particularly great moment is in the Season 3 premiere when Branson reveals himself as one to Matthew, showing how even as the chauffeur he was able to pick up on Matthew and Mary's massive amount of UST.
Most of the downstairs (with the exception of resident jerks Thomas and O'Brien) is shipping Anna/Bates, plus even a few upstairs judging by Mary's "wedding present" of a bed for the couple.
Poor Sybil and Branson had only one person shipping them—Matthew's mother Isobel.
That awkward/awesome moment during the Warehouse13 Season 3 finale when the Big Bad points out that maybe HG would have a better incentive to solve the chess puzzle when there's "someone [she] cares about" (Myka) in the chair.
In the fifth season, Pete's (now married) ex ships Pete/Myka, telling him to his face that even if she weren't married and pregnant, they couldn't get back together because he's obviously in love with his partner.
In Boys Over Flowers, very nearly the entire cast ships Jan Di and Jun Pyo, most amusingly when the household staff intentionally set them up and cover for them.
Amber is definitely this for Nina and Fabian. Not only did she start to ship them by the second episode, she made them a couple's scrapbook, made them prom king and queen, and basically did everything in her power to get the pairing together.
Joy could also be considered this for Patricia and Eddie. While she was not exactly pushing as much as Amber was, she did try and get Patricia to be with Eddie.
In Once Upon a Time Henry is a diehard shipper for Mary Margaret and David, even though David is married to another woman. That's because Henry knows that they are really Snow White and Prince Charming—not to mention his grandparents. Rumplestiltskin ships them, as well, although he has ulterior motives.
Rumple seems to genuinely ship one pairing, though: Neal/Emma. After meeting up with him in New York, he tells Emma she's clearly still in love with him, but she denies it of course. Henry also ships them together, since he is his father, after all.
Likewise, both Prince Charming and Snow White ship Emma/Neal and Charming in particular would rather have his little girl with Neal than with Hook.
Though after the Oz Arc of Season Three, Charming seems to have come around to Hook and Emma. Neal being dead helps as well.
Scrubs: JD and Turk both ship Sam/Izzy (their children, who are both infants) and JD sees Dr. Cox's daughter Jennifer as a possible rival to Izzy, which he doesn't mind. They even think about making the two kiss, but JD decides against since Sam isn't even old enough to hold his head up on his own.
Lost Girl: Kenzi is an avid Bo/Dyson shipper, going so far as to risk her life to get his love back and refers to her as "his girl."
Vex actually calls her on her bias, pointing out while she is still pissed at Lauren for the time she broke Bo's heart, she has (almost instantly) forgiven Dyson each time he broke Bo's heart. It's occasionally suggested that is because she wants to be the only human in Bo's life.
Bertie did this in every other episode of Jeeves and Wooster, sometimes out of either genuine friendship, but more often to pair off every single woman he meets so that he could not end up marrying any of them himself. There would invariably be a scene where he would approach the female half and they would mistake his shipping for a declaration of his own love.
Naboo of The Mighty Boosh seems to ship his flat-mates Vince and Howard, partially because they'd be less of a headache if they resolved their explosive UST.