In Toy Story, soon after Andy gets his Buzz Lightyear action figure, he replaces a lot of cowboy stuff in his room with Buzz Lightyear stuff. He replaces posters, drawings, and bed sheets. I can see the drawings on the wall replaced, and maybe also posters, but why replace his cowboy blankets with Buzz Lightyear blankets so close to moving? Shouldn't they have waited until he moved to his new house, which was within a few days?
And it seems like Andy was a fan of Buzz Lightyear before getting the toy, but I can't help but wonder how his toys didn't know of his fandom. Even though Andy doesn't know the toys are alive, I feel he should have talked a lot about Buzz in front of his toys, maybe even watched the Buzz Lightyear show (there was a show in-universe, right?) with his toys, maybe even had some Buzz merchandise. I wouldn't be surprised if a Buzz Lightyear toy was what Andy wanted the most for his birthday, and I'm sure the toys would have overheard something or been aware of the character, but it seems they don't. The toy soldiers only say what Andy got without saying they were Buzz Lightyear items (like "bed sheets" instead of "Buzz Lightyear bed sheets"). In fact I was watching this last night and noticed for the first time that Buzz Lightyear was on the wrapping paper for the toy.
And it seems the toys know more about Sid than Andy does. They know he likes to torture toys, know he was supposed to be in summer camp (and know that he gets kicked out). It's a shame we never get any interaction between Andy and Sid, we don't even get one of them mentioning the other (like when Sid sees Woody attached to Buzz in the claw machine, he could have said "hey, that cowboy toy's like my neighbors!"). It makes me wonder how well they know each other (I don't know any of my neighbors too well, not even next-door neighbors). Like, would Andy be scared/intimidated by Sid? Sid didn't come to his birthday party, which could be because they aren't friends, but it also could be because Sid was at camp.
One final thing, at the end, when Woody and Buzz fall into the car and Andy says he found them in the car, his mom just says "see? They're right where you left them". But Andy only had Woody in the car on the way to Pizza Planet, he didn't know that Buzz was there. He had lost Buzz before going, and his mom had specifically told him he could only bring one toy. Which also gets me realizing that he wanted to bring a toy, but then he didn't seem to notice Woody missing when he got to Pizza Planet, as if he had just left his toy in the car without caring. And this is a kid who was disappointed that he could only bring one toy to Pizza Planet.