Secret Of The Wings Periwinkle asks Tinkerbell, (speaking of Terrence) "So is he your boyfriend?" "Uuuuhhhhh", cut to next scene without finishing sentence.
Kung Fu Panda with Po and Tigress. It is said in the commentary for the first movie that Tigress is Po's favorite of the Furious Five, even though throughout most of the first film she's the one in the group who is the most vocal about her disdain for him. It takes until the end of the movie for her to respect him. However, in the sequel, while not necessarily romantic (yet), the two share a lot of moments. When Po describes how confused he is about his past, and how Tigress wouldn't get something like that, she suddenly hugs him, much to the shock of the other Furious Five, and tells him she does understand. She then tells him that she can't watch her friend die, and to stay with Masters Storming Ox and Croc for his own protection. She also seems to be the most distraught out of the Five when Po is hit by Shen's cannon. Later, when Po returns and is about to get hit by Lord Shen's cannon, she pushes him out of the way. In the wreckage of the cannon-burst Po finds Tigress drifting and holds her hand briefly before pushing her out of harms way. After Po defeats Shen, he hugs her, with Tigress initially frozen in shock before a smile grows on her face, while everyone else looks on in shock.
Furthermore, when you are aware of the Tiger Versus Dragon of Chinese symbology, Po and Tigress' growing love is not just appropriate, it's almost imperative.
To a lesser extent, there is Crane and Mei Ling in Secrets of the Furious Five, where the feline Action Girl is so nice and loyal to the bird in the All of the Other Reindeer situation that many fans like to imagine them having a romantic relationship while they are at it.
Rise of the Guardians teased plenty of Jack x Tooth in the movie- especially their hug at the end, and the little bit where they just stare at each other before Baby Tooth interrupts- and, if you look properly, a small part of Bunnymund x Tooth.
If you're willing to stretch the We Can Rule Together moment between Pitch and Jack, they count too. Pretty much any one liked to Jack has some moment with him.
There were a few moments teased between Dory and Marlin in Finding Nemo.
Rancis Fluggerbutter is seen checking out Vanellope von Schweetz with interest several times in Wreck-It Ralph after his memories, along with the other racers have been restored and it's revealed that Vanellope was the true and real ruler of Sugar Rush. The animators even went so far to write a book about it, called One Sweet Race, where Rancis, sick of losing and never winning a Sugar Rush cup, gets Vanellope to help him build a kart to win a race for once. Also, there is some Ho Yay in the scene when Felix hugs Ralph, and the Laffy Taffy and soldiers smiling behind Calhoun's back with Felix and Calhoun.
In The Secret of NIMH, heroine Mrs. Brisby and the Captain of the Guard, Justin, flirt a few times, but both have more important things on their minds (not to mention the fact that Mrs. Brisby is the widow of one of Justin's old friends).
Mrs. Brisby:*looking directly at Justin* Beautiful! Justin:*blushes* Oh? Mrs. Brisby: *giggling* The lights!
Film - Live Action
Kick-Ass 2 blatantly teases the titular character and Mindy/Hit-Girl. They even kiss at the end. Although since they are pretty much already the fan Preferred couple, it's possible they are being set up to end up together when the series concludes.
"Deathly Hallows" is not the only movie to blame, by far. Almost all of the movies have added scenes—scenes that weren't in the books—that tease at a romantic relationship between the two. Until the fifth or sixth movie, there were arguably more Harry/Hermione scenes than Ron/Hermione scenes. Talk about a Relationship Writing Fumble.
The second Deathly Hallows film puts in a couple of brief-but-amazing scenes to tease the Neville/Luna shippers. "Have you seen Luna? I'm mad about her! About time I told her, since we're both probably going to be dead by dawn." FANGASM.
Harry/Luna is teased a little bit in Order of the Phoenix with an oddly romantic hand-holding shot near the end.
The Pirates of the Caribbean films were frequently teasing with Jack/Elizabeth, especially their kiss near the end of the second film.
Aliens has quite a few, probably benefiting from the fact that they didn't have an official couple. The most obvious is Ripley and Hicks and Word of God has confirmed that James Cameron imagined the two of them and Newt becoming a family. Ripley also gets a bit of teasing with Hudson during the scene where he gives her his Badass Boast. She looks both uncomfortable and... slightly turned on. There's also a ton of subtext going on between Vasquez and Drake.
Dead Poets Society has some of this between Neil and Todd (shared glances, the "flying desk set" scene, Todd's reaction to Neil's death, et cetera.)
In A Knight's Tale, Jocelyn's handmaiden Christiana and Roland appear to get along very well and there are several scenes in the movie where they are sitting and chatting happily in the background.
Black Widow immediately completed her mission the second Coulson told her that Hawkeye was compromised in The Avengers. Also, when Hawekeye was recovering from Loki's brainwashing, Natasha consoles him and then displays some of her most emotional expressions around him. Not to mention in The Stinger, she lets Clint prop one of his legs on her chair. He's also the only person to call her by a nickname, usually Nat or Tasha. It's currently left ambiguous whether their relationship is Platonic Life Partners or something more.
Speaking of Black Widow, the ship tease is even more blatant between her and Captain America in Captain America: The Winter Soldier, with her teasing him constantly about his love life—or lack thereof—and kissing technique, asking him specifically what he would like her to be, and kissing him twice: one under cover, and a small peck on the cheek during the end of the movie. The entire thing may have been unintentional, but a good amount of movie pundits made mention of the chemistry between the two. Even Entertainment Weeklytook notice.
In Pride and Prejudice, there was a brief scene where it appeared that Mary was giving a Longing Look at Mr Collin after he was rejected by Elizabeth and was left standing in the kitchen. Also, she seemed like the only one who can stand Mr Collins' presence.
This was present in the original novel, and has cropped up in almost every adaptation of the work, especially in the 1995 BBC miniseries.
Bert from Mary Poppins is quite fond of Mary and it seemed that they have some sort of history between them. When they sing a duet together, it's rather adorable.
Bond and Eve in Skyfall had a few flirtatious moments together, particularly the shaving scene. It turns out that Eve's full name is Eve Moneypenny.
Star Trek Into Darkness: Between Carol and McCoy, when Kirk drafts Bones into helping her open one of the torpedos.
There is a brief shot when Khan beams Scotty, Carol and Kirk into the cell, while Scotty is yelling for the guard, Kirk cups the injured Carol's face in an "are you all right?" gesture.
The idea of Thor and Sif was intentionally teased in Thor, as the people who worked on the film wanted to be able to have the option of writing Thor/Sif into the sequels, should they later want to.
Jaimie Alexander: (about Thor and Sif) But there is a reason that we sort of subtly hinted to it in the first film. Just so that there is a door. If we want to go through that door, we can. They like to cover all their bases at Marvel.
With Danny and Henley in Now You See Me, who were apparently involved at one point in the past; Henley actually got her start as a magician with a job as Danny's assistant. In their final scene, they join hands before hopping on the carousel.
Dylan and Alma, who interacted a lot during the investigation and they had an Almost Kiss before eventually sharing a small kiss. She would become the Secret Keeper when Dylan revealed who he is and his role with framing Bradley.
Maleficent and Diaval get a bit, as well; besides their Like an Old Married Couple relationship, there's also how, while watching Aurora's coronation, they're standing so close together their shoulders are brushing, and the final shot is one of them flying together.