Faith Based Initiative - S6-E10
Other mistake: In the flashback episode where the early days of the first Bartlet campaign are shown, Toby is "teaching" C.J. the proper technique for passing a basketball, something she is not very good at. Yet in this episode, when C.J.'s sexuality is questioned in the news, her history as a star basketball player in high school and college is revealed.
Destiny (2) - S1-E22
Other mistake: When Max heals Kyle's bullet wound, the blood disappears from Kyle's t-shirt, but blood from Liz's bullet wound in the pilot episode stained her waitress uniform and did not disappear when she was healed by Max.
Other mistake: In the summer of 2004, in Puerto Arena, Paloma met a man, Nick, who told her that Luis and the other Lopez-Fitzgeralds were just trying to use her, and didn't really love her. Later that night, Nick kidnapped Paloma and tried to rape and murder her. She stopped him by bludgeoning him with a rock, and later throwing him into a support pillar that resulted in a structure collapsing on him and presumably killing him, before reuniting with Luis, Sheridan, and the Wheelers. And yet that fall, after she had returned to Harmony, Paloma flashed back to what Nick had told her and behaved as if she believed what the murdering rapist had told her about the people who ultimately rescued her from him.
Disharmony - S2-E17
Other mistake: At the very end, as Angel walks out the door he reflects in the panes of glass on the door. (00:42:10)
Other mistake: In season 5 episode 7, Tony is talking about JFK, and said he was in grammar school when it happened. However, in this episode Tony celebrates his 47th birthday. He was probably born in 1960, so he would have been no more than 3 years old and not in grammar school when JFK was president. (00:26:36 - 00:38:02)
Other mistake: Guest star Eric Stoltz is credited as Eric Stolitz.