Say what you will about "You've Got a Friend in Me", but "When She Loved Me" holds the record as the only Disney song that can make this troper cry just listening to it, let alone actually watching the scene.
It helps that the montage that went with it was almost identical in style to the "Strange Things" montage from the first one — watching Jessie's toys and merchandise fading into other things.
More cute than Heartwarming, seeing Woody, Jessie, and Bull's Eye reenacting scenes from Woody's Roundup, then switch to having Jessie and Bull's Eye gang up and tickle Woody is pretty sweet.
Some may call this a slightly skewed version, but this troper always loves the scene with Zurg and the other Buzz playing catch as father and son.
One the things that made Woody decide to go to Tokyo was learning that if he left Jessie and Bulls-Eye would go back to storage.
The scene where Woody rescues Jessie from the flight; she's by this point the only one of the four toys remaining in the box to still be trapped in there, and by the time he comes across her she's curled up in the fetal position in the middle of a panic attack:
Woody: Excuse me, ma'am, I do believe you're on the wrong flight. Jessie: Woody! [she hugs him] Woody: Come on, Jessie. It's time to get you home. Jessie: But... what if Andy doesn't like me? Woody: Nonsense, Andy'll love you! Besides — he's got a little sister... Jessie: He does?! Why didn't you say so? Let's go!
Andy fixing Woody's arm at the end, especially after Woody was worried that he'd be abandoned because of the broken arm.