Citizen Joe - S8-E15
Factual error: At the end of the episode General O'Neill is introduced to Joe's wife. He is introduced as General O'Neill, but his insignia on his dress blue uniform is a Colonel - an eagle, not a General's star.
Suggested correction: There is no eagle insignia on his uniform. He has one star (on each shoulder) to signify General.
Touchstone - S2-E14
Continuity mistake: The Stargate on the Weather Controlled Planet has the Earth symbol (Similar to Å) on it, while it should be exclusive to Earth. (00:02:18)
Other mistake: When they are securing the base into three zones after already going into lockdown they secure zone one. Then zone three. Then zone two is secured. But because zone two is in between zones one and three it would already be secure. They are securing the zones from each other. Clearly showing O'Neill secure zone two with a closing bulkhead door displays the incompetence of one of the other two characters. (00:29:40 - 00:32:00)
Singularity - S1-E15
Revealing mistake: At the end of the opening credits, they approach a group of three dead bodies to tag them. The second body we see, wearing a light grey shirt, moves its head a little as they are passing the first body. (00:06:00)