Other mistake: The actress who plays Nancy McNally, Anna Deavere Smith, sometimes has her name spelt Anna Deveare Smith in the credits. It's happened in quite a few episodes. Not sure which is the correct way.
The Crackpots and These Women - S1-E5
Other mistake: When the President and his staff stop preparing for his upcoming press conference they decide to meet again "this afternoon" implying that it is still morning. In the very next scene Sam meets with the representative from United States Space Command he tells Sam that at 6:35 AM local time UFO's were detected over Hawaii. That's not possible. Hawaii is 6 hours behind Washington D.C. If it were noon in Washington, it would only be 6 AM in Hawaii, 35 minutes before the time the gentlemen mentioned.
What Kind of Day Has It Been? - S1-E22
Other mistake: I call this one an "Escher Mistake". As Donna and Josh near the end of their chat about the chair that needs repairs, they pass an office door on their left (Nancy McNally's office) just before going through another doorway. The camera that follows them passes "through" a solid wall and emerges in an office, facing a hall and stairwell as Josh and Donna enter from our left as if this has all been a continuous shot. But the camera-through-the-wall moment is actually a cut so that the actors can be on a totally different part of the set. This would be fine, except the staircase they are about to turn left to and climb only rises up about 3 feet, then the user turns left again and heads to our left - but that sends the user into McNally's office, and does so 3 feet off the floor, yet they are seen entering the press room instead. (00:11:50)
In the Shadow of Two Gunmen: Part II - S2-E2
Other mistake: When Toby tells Sam to "Go back to the office", the subtitles add "Let's", suggesting both are going, but only Sam leaves.
Other mistake: In a scene with Leo and the President, Toby confronts them about the fact that there was no clear person in charge while the President was in hospital after being shot. He references the shooting as taking place 'last May'. However, in an earlier episode, 'The Midterms', there is a title card that states the date as August 14th and in the scene that follows there is discussion about the staff job approval in which CJ states, 'A week ago the job approval is at 51, we got shot at and its at 81.' This would mean that the shooting took place in August not May.
Other mistake: At the beginning of the show, the TV news program on the president's jet shows the time of 5:16 and that it is a "Live" broadcast. However, the time on the bottom of the screen, setting the context for the viewers, is 5:40.
Other mistake: CJ is in Dayton, Ohio visiting her father. She is in the middle of her high school reunion speech when Toby calls from the West Wing. It is light in D.C. outside Toby's office window, but CJ is giving her speech at night when it's dark out.
Twenty Five - S4-E23
Other mistake: Chairman of the Joint Chiefs Admiral Fitzwallace tells Bartlet that he wants to attack targets in Qumar. The first he mentions is "the Bahji C3I" which he explains is "Communications, Command, Control and Intelligence." The explanation shows the actor John Amos flubbed his line and should have said "the Bahji 3CI", as in "C.C.C.I" or "Triple-C I." This is common governmental and military abbreviation jargon, much as the show often uses "D-triple-C" to mean the D.C.C.C. (Democratic Congressional Campaign Committee). (00:16:50)
Suggested correction: C3I is similar to C2, pronounced "C two" and commonly used in military to refer to command and control.
Other mistake: As Donna and the photo-journalist are about to leave the checkpoint, they each shake the soldier's hand. Just before the journalist passes in front of the soldier, the soldier goofs and looks directly into the camera, then catches himself and instantly tries for a 'thoughtful gaze' at the ground. (00:31:50)
Other mistake: During the peace talks between the Arabs and Israelis CJ tells the press that the group had Maryland Crab Cake for lunch. Jews would not eat crab and some Muslims also would not.
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.
Other mistake: All seven candidates appear on stage, however John Hoynes isn't among them. (00:40:45)