In Toy Story 2, Woody's right arm rips when pulled against Buzz's left arm—in the previous film, Buzz's left arm falls off, whereas Woody's right arm falls off later in the film.
When the toys are in the luggage conveyors at the airport, why doesn't Jessie intervene at all in the fight between Woody and Stinky Pete? Because she was having a panic attack being locked up in a closed space with no light. When Woody finds her again, she's in a fetal position and shivering.
Furthermore, it's kind of odd how earlier Jessie and Woody and Bullseye were playing around like crazy when the toys in Andy's room wouldn't play unless Andy was there to play with them. But as far as Jessie, Bullseye, and Pete are concerned, this is the last chance they'll ever get to actually play before they're shipped to the Museum.
Actually, the other toys also play amongst each other. Remember Woody and quick'n'draw having a 'gunfight'? It just only ever was a background event.
A small case of Fridge Brilliance in Toy Story 2: Why was Stinky Pete the only Woody's Roundup toy that was still in the box? Because Stinky Pete toys were in such low demand that stores had trouble selling them, so it wasn't difficult to find a surplus of Stinky Pete dolls.
A rather subtle theme of character building; in Toy Story 2, Rex is consumed with beating the Buzz Lightyear video game. In Toy Story 3, Trixie gets a message from "Velocistar237" (presumably another dinosaur toy), who is proudly boasting "I made it to the dark fortress!" And in the end credits, Rex and Trixie are seen bonding over playing a video game. Apparently dinosaur toys are avid gamers...
When we first meet the Roundup Gang in Toy Story two, they treat Woody almost reverently, the Prospector even referring to him as 'the prodigal son'. That all made perfect sense to me, it meant that they were finally getting out of storage. But the other day I realized there was another layer there. None of them had ever met a Woody toy before, but judging by their reactions they had all seen the Woody's Roundup show before. Woody is the main character of the show, referred to in the opening as 'the very best' and always portrayed as the great hero who saved the day (and their characters) in the end. So here we have these three toys, locked away in the dark for years, with the knowledge that when Woody comes everything will change. And their only image of him coming from a show that builds him up as their savior. No wonder they were so excited to see him!
Toy Story 2: Upon rewatching the movie, I saw the "When She Loved Me" sequence and kind of wondered why Jessie never bothered to slide out from under the bed for Emily to find her. It ultimately wouldn't have mattered: even if Emily found her, or even if she simply got another Jessie doll, she still would have grown out her interest. Even if Emily did find her, Jessie wouldn't be played with again, and would just as be good as gathering dust under the bed like the other discarded "Woody's Roundup" merchandise.
Stinky Pete says Woody's Roundup was canceled because children wanted to play with space toys. In the original film, Woody feels tossed aside because Buzz Lightyear, a space toy comes into the picture.
This one's more like Fridge Heartwarming, but here: The whole reason for Stinky Pete's villainy is that no one ever bought or played with him. His final fate, being given away to a little girl that defaces all her toys by drawing on them, is played up in-universe as a Fate Worse Than Death. It's only later that I realized: even if he gets drawn on, he still finally gets to be played with.
How long did Jessie have to wait under Emily's bed before she was donated to charity?
Toy Story 2. Zurg reveals to "New" Buzz he is his father. After Zurg is defeated by Rex, New Buzz, rather than accepting victory over Zurg, mourns the apparent demise of his father. Later, they are seen playing catch together. Why? Zurg didn't have much opportunity for a Heel-Face Turn, and New Buzz has only just learned his arch enemy is his father. It's because, unlike Luke Skywalker, New Buzz has decided to join his father on the Dark Side.
Zurg had a dent on his head. Brain damage from the fall (a whole new issue) probably Heel Face Turned him.
How many people were hurt or worse in the collision the toys caused while crossing the road?
From what we see, most of the collisions appear to be of the 'fender bender' variety, so it can be extrapolated that outside of a few cases of minor injuries or whiplash and some hits to the pocket to cover the damages, there were likely very few major injuries or fatalities. Although there is that large concrete cylinder that rolls off the back of the truck...