Character mistake: When young Alan is talking young Sarah, he says that he found a board game at the factory. Alan didn't find the game at the factory. He found the game across from the factory at a construction site.
Character mistake: Mr Potato Head gets torn apart by baby Molly after the opening scene. When Andy returns to the room with Buzz everyone resumes their positions, but Mr Potato Head looks for his bits and sits under the shelf with the other toys.
Character mistake: Tom states that the Republic of China released fifteen American POWs in 1955. The People's Republic of China (Communist China) might have done so, but the Republic of China (Taiwan) has always been an American ally and would not have been holding any Americans prisoner to begin with.
Suggested correction: The construction might very well be part of the factory, a new factory building for example.
lionhead
The sign at the construction site said it was an "Executive Office Annex" that they were building.
Bishop73
Even though the sign said it was an Annex, construction was still being done outside of the main factory where Alan found the game. Not inside of the main factory itself.