Continuity mistake: When Annie starts to throw her tantrum, she knocks stuff off the table, including the microphone and small mic stand. When she's lying on the table, the mic stand is back on the table. It back on the floor when she and Jeff leave, although the Uruguay sign is now back on the table.
Continuity mistake: When Britta is in a cage, before Chang walks in, a couple pass her and are walking out the double doors, where both doors are open. After Chang steps up to the cage and the camera shot changes, the couple is further away from the doors and walking out again, only this time one of the doors is closed.
Character mistake: At the party, Jeff is talking to Ted about his parents' divorce, which included a custody hearing. Jeff mentions the divorce lawyer drove a Mercedes SLK. However, the SLK didn't come out until 1996, which would make Jeff at least 21 (turning 22) at the time of the divorce (he was born Nov 1974). There would have been no need for a custody hearing (Jeff was an only child between his mom and dad) and his parents divorced when he was very young, so the divorce had to happen prior to 1996.
Continuity mistake: At the end when Abed is talking to the Dean, there's an open to-go box with chicken fingers. After the Dean asks who would steal a box of hairnets, it cuts back to Abed and the box and ketchup are gone. Post-it notes are also now seen and the stapler moved. In the next shot of Abed, the chicken is back.
Continuity mistake: After the pottery class scene, in the Spanish classroom, when Britta and Jeff are talking, his right arm is across the desk. When Jeff replies "so did someone's psych teacher" and camera cuts, his arm is suddenly folded up by his chest. In the next shot, his left hand is suddenly over his right hand.