Continuity mistake: When Riggs and Palmer fall through the roof and onto the bed, the debris under them changes. In the final shot there's a huge piece of the ceiling in between and under them that wasn't in the previous shots.
Continuity mistake: When Riggs is talking to Agent Palmer about being hungry, he's holding one red folder. When he asks if she was going to eat, he sets the folder down. In the next shot, he's holding a folder again.
Continuity mistake: When Riggs throws the water bottle to Leo, he catches it with his left hand, in the next shot he's holding the bottle in his right hand.