Children of the Gods (1) - S1-E1
Plot hole: When Apophis and his Jaffas are leaving SGC with the captive soldiers - there is no way they could have activated the gate without a DHD, but somehow it gets activated, and they escape.
Other mistake: When first discussing the alien ship, the computer screen states "terraforming progress" long before they suspect and later discover the ship to be terraforming the planet. (00:00:04)
Plot hole: The team go through the gate to disable a drone with the intention of being able to close the active Stargate, but once they go through in a submarine, the gate closes behind them, rendering the mission pointless. (00:24:18)
Suggested correction: This entry seems to have been made without watching the episode or you skipped a part. When the 3 enter the Stargate via the submarine, the Gate does NOT close behind them. It stays open, which we not only see but is how they can communicate with O'Neill. Then Dr. Markov says once they bring the drone in (to the submarine), they can shut the drone off and the Gate will close. Which is what they do (off-screen) and when they do, the Gate closes.
Other mistake: Just after the scientists on an alien moon follow The Light into the forest there is a car behind them.
Plot hole: Despite the Russian Government not being aware that the submarine is quarantined in a US port, a Russian Navy Sovremenny-class destroyer is visible in the background. (00:14:29)
Other mistake: When Jonas says he has flashes of what's going to happen (and no-one believes him), Teal'c says they have encountered many strange phenomena but no-one who could see the future. Except Jack and Teal'c had a whole "Groundhog Day" episode where, because they were stuck in a loop, they could see the future. Carter then says it goes against all the laws of physics as we know them, despite knowing time travel and other things that break the laws of known physics exists.
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)