The incongruous possession variety pops up in an advertisement for Progressive auto insurance. Flo comments "And no more holding her purse!" to a husband who is shopping for auto insurance with his wife and the husband replies "It's a European shoulder bag. It was a gift," while making eye motions towards his wife.
Anime & Manga
In the Anime series InuYasha, Inu-Yasha and Sessomarou's swords were not only gifts from their demonic father, they were carved from his very fangs. Ownership of each sword and the skill to properly wield them become a major point of contention and conflict between the half-brothers.
Rolo's heart-shaped locket charm on his cellphone in Code Geass was a birthday present from his older brother Lelouch. Despite being a ridiculously girly gift ( Lelouch was thinking of Nunnally when he got it), Rolo refuses to part with it and is extremely protective and sentimental about it.
Luffy's straw hat is a gift from Shanks. Luffy treats this hat as his treasure.
Rayleigh's flashback shows that Gold Roger was the original of the straw hat, meaning that it was also a gift for Shanks.
Zoro's most important sword Wado-Ichi-Monji was given to him by his teacher who was also the father of his dead friend.
While not as largely plot-impacting as the rest of the things from this page, it can be seen in a few chapters of Gunslinger Girl that Rico has a cuddling pillow. Considering the cold, aloof fish that Jean is, it seems out-of-character for him to give her something like that, until we see in a flashback that Enrica has one too, likely a gift from her Aloof Big Brother. This serves to show us cracks in Jean's Jerkass Fašade.
Trigun: Anime Vash the Stampede says this about his iconic oversized revolver, which is both the means for converting his right arm into a humongous laser gun and apparently a pretty shitty actual firearm. His Evil Twin made one for each of them with the stated intention of wiping out the human blight. Vash is not very into that. But he's holding onto the gun, in memory of his promises.
Hana No Mizo Shiru: Misaki's flower necklace turns out to be a gift from Kawabata, so he can look at it and remember someone is there for him after his grandfather's death. He appreciates the sentiment, and also has feelings for Kawabata, so he wears it every day under his shirt. Then their relationship sours and Kawabata rips it off his neck — breaking the necklace, and almost choking Misaki. Arikawa later fixes it, but he understandably doesn't want it any more.
Franz Xaver Winterhalter did a portrait of the Duke of Wellington, Queen Victoria, Prince Alfred, and Prince Arthur (later King Edward). He had the Duke presenting a box to make it dramatic, and it was a wide spread story that there actually was such a box, owing to him on his coming of age. The prince even asked for it, and was told by the queen that it was just a piece of fancy.
In "Catherine and Her Fate", Catherine's Fate gives her a skein of thread that proves the secret to her happy old age.
The dog, Hai, is a present from Smith to Neo in The MatrixSlashficBringing Me To Life. Smith's jean jacket is a gift from Neo to cement the fresh start that getting together was for both of them. The jacket doubles as a Memento Macguffin that takes on even greater meaning after Neo dies.
Films — Animation
In Tangled, Flynn buys Rapunzel a souvenir flag as part of their Falling in Love Montage. Later, it lets her recognize in her own paintings the signs of her birth.
Commodore Norrington's sword was a gift from the governor (and originally forged by Will Turner). That was its first appearance; it continued to make plot-significiant appearances throughout the trilogy.
In Star Wars: While most notably an Ancestral Weapon, Luke Skywalker's first lightsaber was also a gift from Obi-Wan Kenobi, his friend and mentor. When he lost it in The Empire Strikes Back, he lost his only physical link to two of the most important figures in his life.
Undercover Brother. The title character was given a medallion by his father so he would never forget who he is or what he stands for (protecting black people from racism).
In The Thrawn Trilogy, C'baoth recovers Luke Skywalker's lightsaber and gives it to his clone of Luke. At the end of the book, Luke recovers it from the debris and gives it to Mara.
In Graham McNeill's Horus Heresy novel False Gods, Horus carries a golden sword, forged for him by a battle brother when he was made Warmaster.
In Graham McNeill's Fulgrim, Ferrus Manus carries a golden sword. When he had first met his brother primarch Fulgrim, they had challenged each other, and Fulgrim had made the sword, while Ferrus Manus made a warhammer. Astounded by the other's skills, they had given each other the weapons they had made to seal their friendship. When Fulgrim fails to sway him to Horus's side, they fight, and Ferrus Manus breaks the sword, making Fulgrim realize that the break is irrevocable. Fulgrim takes back the warhammer and has his ships open fire on the Iron Hands.
William King's Space Wolf novel Wolfblade recounts a story that, among other things, tells how Ragnar got his frostblade. Indeed, in the Frame Story, explaining it is the motive for telling the story.
In Simon Spurrier's Lord of the Night's Back Story, the Night Haunter had named Sahaal his heir and decreed that he should receive the Corona Nox as a symbol of that, which was why it's being lost was so important.
In Chris Roberson's Blood Ravens novel Dawn of War II, the governor tries to justify having the Space Marine sword Wisdom by claiming it was a gift. It doesn't save him.
This example becomes more humorous if one believes the /tg/ meme that the Blood Ravens are actually Kleptomaniac Heroes, as this is their excuse for having weapons taken from practically every major Space Marine chapter.
In Dan Abnett's Gaunt's Ghosts novel, Ibram Gaunt's swords are both gifts. His first came from the hand of his dead mentor, General-Commissar Oktar. When it is ruined in battle, he receives the power sword of Hieronymo Sondar, the founder of Vervunhive, while he tries to defend it in Necropolis, and carries that sword thereafter.
At the end of Lloyd Alexander's The Book of Three, the main character are given gifts that they will carry through the series.
And in the middle of the fourth book, Taran Wanderer, Dorath demands Taran's sword as "payment" for "protection." Taran refuses because it was given to him by his guardian Dalben and first put on him by the girl he loves. After a fight in which Dorath's sword is broken, Dorath treacherously pulls a dagger and steals it. At the end of the book this proves to be symbolic, because Taran faces Dorath again, this time fighting with a sword Taran had forged himself, and when the two swords meet, it is the sword of his childhood that shatters.
In Tamora Pierce's Protector of the Small quartet, Kel receives gifts from a then unknown "benefactor". Some of these items are rather pricey. Not only that, they are particularly useful to a girl in knight-training. Among them are magical bruise balm, exercise equipment to strengthen her arms, a saddle for her horse, and a new knife and matching sword. The "mysterious benefactor" turns out to be Sir Alanna, the first lady knight, who presumably, as the sole heir of two large estates, has money to burn. It's implied that these gifts are things Alanna wished she had as a page/squire. An exceptionally notable and heartwarming payment was when Kel got to keep Peachblossom for four years.
Alanna herself has her own gift: the mirror with roses on it that her oldest son gave her when he was little. She still uses it to scry twelve years later.
"Filthy Baggins lies! It was our birthday present, precious. (gollum) Gives it back to us!"
And there are the cool gifts that Galadriel gave the members of the Fellowship, including the Phial.
At the beginning, Bilbo hands out gifts at his birthday party, and leaves many more gifts after his departure. After the four hobbits reach Rivendell later on, Bilbo gives Frodo his old sword Sting, as well as his mithril-coat. On the return trip, Bilbo gives the hobbits all gifts — including his writing, which means Passing the Torch to Frodo. At the very end, Frodo gives the book to Sam.
Subverted in The Three Musketeers, where d'Artagnan starts out with three gifts from his father: a sword, a horse, and a letter of introduction so he can join the Musketeers. He loses all three of them in the first chapter except the horse — the only item he wouldn't have minded losing, as it was an ancient nag with a ridiculous colour. He manages to sell it in Paris.
There's also Vimes' silver cigar case in Night Watch, given to him by Sybil.
Numerous items in Rick Riordan's Percy Jackson and the Olympians are given as gifts. Those from the gods are particularly likely to be important. Though the knife that Luke gave Annabeth proved to be the most important.
Christmas presents to and from Harry also feature. Especially socks.
The Invisibility Cloak was also a gift, as was the Marauder's Map, both of which were indispensable to many of his adventures.
In A Wrinkle in Time, Mrs. Whatsit, Mrs. Who, and Mrs. Which give the children gifts before sending them off, which proves crucial.
In Norman Juster's The Phantom Tollbooth, Milo receives many gifts: words, a calculating pencil, laughter, a telescope that shows what things really are. These prove essential when facing the demons of ignorance.
In Sherwood Smith's Crown Duel, the ring the heroine receives from an anonymous admirer, and still more the ring she had made to reciprocate, move the plot in several instances.
In Fool Moon, because both Harry and Murphy have received gifts of silver from family, they can fight the loup-garou as it can only be harmed by inherited silver]].
In Grave Peril, Bianca gives gifts at her party. Many are Chekhovs Guns.
Averted in Summer Knight where Queen Mother Winter, on par with the Archangels in terms of strength tells Harry the Unraveling is not a gift but a necessity so he can save the day. It also spares Harry from being indebt to Mother Winter for accepting the it.
In Ursula K. Le Guin's A Wizard of Earthsea, Ged finds an island with an old man and woman. He deduces from the dress the woman shows him — rich, for a child — that they had been abandoned there. She gives him half of an armring. In The Tombs of Atuan, this gift is his driving motivation for his actions.
In Suzanne Collins's The Hunger Games, the pin Madge gives Katniss makes the mockingjay an immensely significant symbol. All the more so when she learns in Catching Fire that the aunt it had belonged to died in the Games. Also, the pearl Peeta gives her in Catching Fire.
In Beowulf both the king and queen honor him with a gift of a ring.
In L. Jagi Lamplighter's Prospero Lost, when the woman in a thrift shop asks if Miranda wants to sell her Edwardian dress, Miranda contents herself with saying it was a gift from her sister for why not.
Very early in the first book, Jon has a small sword tailor made for Arya. It becomes her most valuable and prized possession.
Jon gets one himself after saving the life of Lord Commander Mormont. Mormont gives Jon his valuable heirloom Longclaw and has the bear, the sigil of house Mormont, on the pommel carved into a wolf, the sigil of house Stark (specifically designed to resemble Jon's direwolf Ghost). The criteria of Take Up My Sword isn't fulfilled until some books later.
In a non-sword example, Tyrion Lannister, who has been taking being kidnapped pretty well up to that point, really begins to lose his temper when the Stark soldiers decide to eat his horse. It was a birthday present from his brother.
In Poul Anderson's "A Little Knowledge" Harker has his men hanging about and gives them a cover story that he's giving an alien a gift, and they are waiting until he's done.
In Wen Spencer's Tinker, Windwolf gives Tinker a brazier, which is a traditional gift.
In J. R. R. Tolkien's Smith of Wootton Major, Smith found a silver coin in his piece of the Great Cake, and gave it to Nell because she was disappointed in not finding a trinket in her own. They end up married when they grow up.
In Alethea Kontis's Enchanted, "far-to-go" Thursday ran off and married a pirate — and sends marvelous gifts. One such packet proves to be significant in the events of the novel. Sunday also brings a bucket to the frog, as a gift.
Used for Getting Crap Past the Radar in Buffy the Vampire Slayer. Tara offers Willow a dolls-eye crystal that belonged to her grandmother, but Willow refuses on the grounds that it's a valuable family heirloom. But after they spend the night "casting spells", Willow turns up at her dorm the following morning holding the crystal, implying that she accepted it as a love token.
On Supernatural, the pendant that Dean always wears around his neck was a gift from his brother Sam, who gave it to him to show that Sam considered Dean more of a parent than their father John. (The pendant was originally to be a Christmas gift for their father. "Always", that is, until season five, when it turns out to be a tool for locating God, and he reluctantly lends it to Castiel.
Parodied in Scrubs. JD is excited at being invited to the birthday party of Dr. Cox and Jordon's son before he's reminded that he's only being allowed in because he has a Spongebob costume. JD hastily defends it with, "It was a gift," before adding in his narration, "From me to me."
Myths & Religion
Greek Mythology: Perseus was given his sword, his mirror-like shield, and winged sandals by Athena and Hermes.
In the Saga of the Volsungs, Odin appears at the wedding of Signy and King Siggeir and drives a sword into the tree Barnstokk, and only Signy's brother Sigmund could pull it out.
The Merchant of Venice: One of Shylock's most notable human moments is buried in his 'wicked old miser-Jew' ranting about how his daughter, who recently eloped with an enemy of his, taking all his money and jewels with her, were dead if it meant he could have his riches back—the scene is a friend of his reporting her progress across the Mediterranean, and he gets especially vitriolic after finding out that Jessica traded the turquoise ring for a pet monkey. Turns out that particular ring was a gift from his dead wife, before they married. In fairness to Jessica, she probably didn't know this.
Played for Laughs in Tales of Vesperia. When Judith meets Yuri, she notices the Sorcerer's Ring (commonly used in the series to solve puzzles) and asks if it was a gift from a girl. When Yuri admits that it was, Judith comments that they must have a "special bond", which causes the 21-year-old Yuri to groan that he hopes not—it was given to him by the Hot-Blooded 15-year-old mage Rita.
In one of the endings to Street Fighter Alpha 2, Ken gives Ryu his famous red headband (which Ken had been previously using as a hair tie). Previous to this, Ryu had been wearing a white headband.
As is eventually revealed in Final Fantasy VII, the Buster Sword was a gift from a dying Zack to Cloud, which sort of explains why it can never be sold (polygonal limitations explains the rest). In Crisis Core, the Buster Sword was a gift from a dying Angeal to Zack, who then used it exclusively (but only the blunt side, in order to "prevent wear, tear, and rust"). Even before that, the Buster Sword was a gift from Angeal's very poor parents to Angeal when he joined SOLDIER.
Tidus of Final Fantasy X also had his signature weapon, the Brotherhood, as a gift from Wakka, who originally made it for his dead little brother Chappu, who coincidentally (and remarkably) resembled Tidus. Chappu's refusal to use the weapon was something of a sore point with Wakka, as Chappu chose to fight with an Al Bhed machina weapon instead, and eventually died fighting Sin.
Tidus also gets a longsword in the beginning from Auron, a "gift" from Jecht. Considering you can sell it as soon as you acquire Brotherhood, it tells you a lot about how Tidus feels about Dad.
Gwendolyn's magic spear was given to her by her mortally wounded sister. So it's understandable why she gets upset when she learns her father gave it away to the Shadow Knight, Oswald, as part of a bribe. Luckily Oswald lets her keep it.
On the flip side, Gwendolyn single-handedly invades the fairy kingdom of Ringwood to retrieve the magic ring Titrel which was the only gift Oswald was able to give to her as a sign of his love.
In a twist on this trope, Nero is already in possession of Yamato, Vergil's sword, but Dante lets him keep it at the end of Devil May Cry 4. When Nero protests, Dante insists that Nero consider it his gift, and that a gift that costly is "the only kind worth giving." Of course, Dante merely wants it to stay in the family...
The incongruous possession variant occurs in Eternal Sonata — if you have Retto explore Viola's bedroom, he finds a teddy bear, which strikes him as odd. Then he spots the gift tag.
In the webcomic Dan and Mab's Furry Adventures , Daniel Ti'Fiona long wore a signature robe; in a flashback we finally learn it was given to him by his friend Wildy San when he graduated from Adventurers School.
The ring in Girl Genius. "Some kind of connector from the gas system turned to a ring by Gil during his abortive marriage proposal, to give to Agatha, worn by Agatha until she needed to fake her death, found by Gil on what appeared to be her body, worn by Gil on a chain about his neck thereafter. She was quite touched when she realized that.
Thanks to time travel shenanigans, John ends up receiving the same present three times, with added modifications each time. The final version (a cybernetically enhanced toy rabbit (the one from Con Air, no less) carrying an array of lethal weapons) is both instrumental in the rise of power of the main villain, and John's victory in his first battle against said villain.
At the same time, the presents sent by John to his friends prove instrumental in defining Dave's appearance, Rose's weapon of choice, Jade's liking for wearing blue and gardening, and the very reason that the four kids know each other in the first place.
Zoe's chest tattoo in Sluggy Freelance was a necklace given to her by Torg. It was revealed to be cursed the first time it activated and turned her into a camel, bonding to her skin. The necklace was found later as evidence of Zoe's death.
Avatar: The Last Airbender: Katara's necklace, from her grandmother by way of her mother. Important in that it gets stolen partway through the first season, then retrieved again; has plot significance in "The Waterbending Master" as well. Also, "The Avatar State" opens with a gifting scene reminiscent of (and slightly parodying) Galadriel's gifting of the party in The Lord of the Rings.
Master Pakku:(in a serious and ceremonial manner) Katara, I want you to have this. (cut to a close-up of the amulet, showing that it is a triangle with a wave-shaped pattern of blue color with a crescent moon on the top.) This amulet contains water from the Spirit Oasis. (cut to behind Master Pakku as he hands the amulet to Katara, who is standing in front of Appa and next to Aang) The water has unique properties. Don't lose it. (his face softens) Katara:(respectfully) Thank you, Master Pakku. (she embraces him and then walks off screen; Aang steps forward and Master Pakku produces an intricately-decorated brown box) Master Pakku: Aang, these scrolls will help you master waterbending, but remember they're no substitute for a real master. (Aang looks up at Katara, who is on top of Appa, and then exits to the left as Sokka steps forward) Master Pakku: Sokka. (Sokka looks at him proudly and expectantly.) Take care, son. (Pakku pats Sokka's arm, giving him nothing; Sokka's expression becomes very dejected and embarrassed)