Mac: Goo, I'm really sorry for what I said about you. You're not weird. You're really creative and funny and nice, and if you're not too mad at me, I really wanna be your friend too.
(Mac looks at Goo, and the camera zooms out fast to show her, now really happy.)
Axis Powers Hetalia: The Austro-Hungarian Empire. Also, two Ho Yay versions: Germany and Italy, and England and America.
Fanon-wise, Taiwan is more often than not the Energetic Girl to Hong Kong or Japan's Savvy Guy. Unless there's a Gender Flip on sight, where Taiwan becomes an energetic guy to their savvy girls.
To be fair, that's likely to be based on the CD drama where she and China have a rather... weird interaction. She lectures him for being Totally Radical and loud, then ends up breaking his arm while attempting to fix his back.
Aaaaand now it's canon. The fourth manga volume has Taiwan being the energetic girl to pretty much everyone in Asia, whether males (China, Japan, HK, Macau) or females (Vietnam).
Code Geass: Lelouch Lamperouge and nearly any girl he can be paired with, because Lelouch is a Squishy Wizard of sorts.
Tower of God: Yuri Zahard is a princess who does whatever she wants. Evan Edrok is a high ranker and and well-respected guide (also very short). She drags him to the bottom of the tower (World Building in a very literal sense) just to see a new irregular.
Death Note: Light Yagami and Misa Amane, but Light doesn't love Misa except maybe when he is suffering from self-inflicted amnesia.
Naruto: Shikamaru and either of the girls he is most paired with fit this trope. Temari and Ino are both far more aggressive than he is. Both tell him to "man up" or push him to be stop being lazy.
Yu-Gi-Oh!: While they never go beyond subtext, since the series (especially the anime) thrives on Ship Tease, Mahaado and his student Mana fit this trope quite well. About the only point missing is the Squishy Wizard status, since Mahaado is well trained both in magic and military arts.
Kampfer: All the pairings Natsuru could possibly be involved in are this.
Chrono and Rosette in Chrono Crusade, although with a few slight variations. For one thing, Chrono is actually stronger than Rosette, but since their contract means his powers take time away from Rosette's lifespan, Chrono prefers to let Rosette take the lead in combat situations and only uses his true power as a back-up plan. And for another, while Chrono comes across as much more rational than Rosette, it's actually only because Rosette is veryHot Blooded and impulsive, and Chrono has much more experience than she does. When he's matching wits with someone closer to his true age, Chrono comes across as someone with average intelligence and much more impulsive and emotional than is obvious when he's with Rosette.
Ulquiorra Cifer and Orihime Inoue are pretty much one of the most twisted versions ever in anime, as he openly and actively tries to break Orihime's mind during her captivity and succeeds when he kills Ichigo in front of her. She ultimately manages to get better, though.
Orihime and either Ichigo or Ishida kinda fit as well, and so do Ichigo and Senna from the Non Serial Movies.
Kenpachi and Yachiru are sort-of father/daughter version.
Special A has plenty of them Hikari and Kei, Akira and Tadashi and Sakura and Jun.
Comic Books
Deconstructed in Young Liars. Sadie acts the way she does because a bullet in her head destroyed her inhibitions and ability to recognize consequences. Danny was her stalker prior to the shooting, and since then has taken advantage of it to make her completely dependent on him.
Lois Lane and Clark Kent are possibly the Ur Example of this trope, definitely so in the genre of comics. Doesn't completely apply to Lois and Superman, however.
Scott Pilgrim and Ramona Flowers are a gender-flipped version.
Tim Drake/Robin (serious intelligent guy) with Stephanie Brown/Spoiler (plucky pollyanna girl).
Dick Grayson and Barbara Gordon, only gender-swapped.
"You know, you don't talk a lot." (beat) "I like you!"
The first time Emily Friehl meets Oliver Martin in A Lot Like Love he tells her that in six years he plans to be settled and content in both life and career while she lives life by the moment.
Gilmore Girls: Luke and Lorelai own this trope, even when they weren't a couple.
Beta Couple and Lorelai's neighbors are cool, calm, and collected Morey and his loud and gossipy wife Babette.
Rory had this relationship with most of her romantic interests. In fact, Max and Lorelai probably didn't stay together because he couldn't keep up with her, as Dean noted.
Smallville features Clark Kent and Lois Lane in this role. Clark is more stoic and reserved, but tends to be a little clumsy, while Lois is an energetic talker who tends to be very outgoing most of the time. Of course, the 'a little clumsy' thing is, as always, so nobody'll connect Clark with the mysterious "red and blue blur" who goes around righting wrongs.
She-Wolf of London (the 1990 TV series, not the 1964 film) features a male professor of mythology and a female werewolf.
Anthony Bourdain went to South Korea. His assistant Nari Kye, who actually is from Korea and has several family members there, went with him Hilarity ensued.
In the early seasons of Angel, Wesley and Cordelia have this dynamic.
Theater
Emmett and Elle in Legally Blonde: The Musical; less so in the movies, but still there.
Up and Taz in Starship certainly apply.
Video Games
Ace Attorney: Phoenix Wright and Maya Fey (or Ema Skye), and his successor Apollo with Trucy. Even more so with Miles Edgeworth and Kay Faraday, since Edgeworth's supposed to be extremely competent at what he does.
Fire Emblem has MANY of these: Erk and Serra, Oswin and Serra, Lowen and Rebecca, Rhys and Mia, Azel and Tiltyu, Shannan and Patty/Daisy, Lalam and Roy, Rennac and L'Arachel...
Keiji and Kasumi in Mass Effect 2, though since Keiji died before the story began the only screen time we get is a recording of a message for Kasumi.
Nice!Hawke and Isabela in Dragon Age 2, or Silly!Hawke and either Anders or Fenris.
And Alistair and the Warden can be this in Origins.
Valkyria Chronicles: Homer Pieron and Edy Nelson. Although she's more of a Leeroy Jenkins rather than dumb, and he's mostly lucid until one appeals to his masochistic side.
Sachi in Sharin No Kuni. She's actually nearly at genius level IQ but you wouldn't know that from looking at her.
Vincent Valentine and Yuffie Kisaragi in the Final Fantasy Compilations, especially Dirge of Cerberus. Whether their relationship is romantic is a matter of speculation.
Exactly the other way round with the "Little Conqueror" Sun Ce and Da Qiao. Actually, Sun Ce - Zhou Yu and Da Qiao - Xiao Qiao also qualify (without actual pairing, of course).
Two of the minor Masters participating in Fate/EXTRA's Holy Grail War. Having entered as a couple on the girl's suggestion, they find the rules prevent them from becoming a Battle Couple as she originally planned. The boyfriend realizes the full implications of what they've gotten themselves into much sooner, while the girl remains cheerful, optimistic and sunny.
Legend of Heroes: Trails in the Sky - Estelle and Joshua, though I wouldn't call Joshua physically inept. He IS a bracer, after all. He just prefers reading a book to hiking or fishing.
More like Sarcastic Guy Energetic Girl, since he's not had too much experience, but Conrad and Toni from Hanna Is Not a Boy's Name count for their shippers.
With superheroes the key part of the Whateley Universe, it happens all the time. Jade Sinclair (Generator) and Stephen Lee (Thuban). Toni Chandler (Chaka) and Scott Emerson (Thunderbird). Anna Parsons (Aquerna) and Jerry Walsh (Hazmat). Since Hazmat is an inventor and Aquerna is a bubbly babbler with squirrel powers, they may be the classic example so far.