The Serpent's Lair (3) - S2-E1
Continuity mistake: When Daniel is shot by a Jaffa staff weapon, the hole in his jacket is very visible. When Daniel comes out healed from the sarcophagus, it has also mended his jacket, but it's shown in other episodes that it doesn't repair clothing.
Other mistake: Teal'c swipes his security card to open a door. The stripe is facing the wrong way, and he really doesn't even get it in the slot right, but The Light still goes green and he opens the door. It is very obvious. (00:26:10)
Visible crew/equipment: After Simian has revealed to Hammond and everyone else why Linea is known as the Destroyer of Worlds, the alarm soon blares and Hammond races to the Operations room. When he's told about the unauthorized gate activation, the white T-mark is visible on the floor. (00:41:00)
Continuity mistake: You hear "chevron four encoded" but the third chevron lights up.
Visible crew/equipment: After Daniel finally collapses in the supply room Jack hugs and comforts him, then it cuts to Sam telling Hammond about the probe's data, and an actor's T-mark is visible on the floor near the stairs. (00:39:10)
Audio problem: Near the very end, when SG-1 have been captured, Daniel says "it's a good day to die", but the subtitles say that O'Neill says the line.
Continuity mistake: When Carter gets stuck in the elevator, she's on level 22. Every time the level changed, you can hear a beeping noise and there's no noise after we see 22. But from outside, the doors say 28. It wasn't a cut away shot either.
Visible crew/equipment: After Jack kills Fro'tak and disintegrates his body with the Zat gun he hides from the guards, then as soon as it cuts to Teal'c and Drey'auc at the house, four T-marks become visible on the floor - white, orange, pink, and blue. (00:23:15)
Plot hole: Huge plot error: Apophis and Clorell (Skara) should not have survived the explosion in Season 2, Episode 1 (when they attack Earth with two ships). In "Family" they explain that Apophis and Clorell survived by escaping through the stargate aboard Clorell's ship moments after Daniel Jackson did the same. However, when Daniel Jackson escapes through it, Apophis and Clorell are not even on the right ship, and there is 1 second left on the C4 timer when Daniel escapes. They actually show Daniel Jackson escape, and then cut to Apophis and Clorell still aboard their ship. So apparently, Apophis was able to "ring" from his ship over to Clorell's ship, make it to the stargate room, dial an address, and escape through the stargate all within literally 1 second. Is this guy related to The Flash?
Suggested correction: That's not what happened or what was said. Daniel suggested Apophis and Klorel used the rings after he did, not that they used the Stargate after him. In "The Serpent's Lair", we see Apophis and Klorel use the rings BEFORE Daniel uses the Stargate. But we don't actually know how much time is meant to be left on the C-4 when they use the rings. They ended up using the Stargate before Daniel did and they never cut to them on board after Daniel escapes.
Other mistake: When Teal'c shoots Rya'c with the zat, it is still closed.
Continuity mistake: When O'Neill and Carter arrive at Washington, Carter says "Don't worry, Sir. These were my old stomping grounds." O'Neill replies with "I'm sorry to hear that." But later when the reporter approaches O'Neill in the bar the recording says "My condolences."
Factual error: When O'Neill throws the knife at the system lord at the end, the knife is spinning in the wrong direction.
Character mistake: When Daniel Jackson learns about the fact that his wife, Sha're, has returned with a dormant Gua'uld, he does not take her to Thor's Hammer that got repaired in S2E6. Even though he was with Teal'c, that doesn't pose any issues since he is deliberately exempted from the Hammer.
Visible crew/equipment: Just after Jack says "Whoa, did you guys hear that?" a person in yellow is visible in the background (either in the building, or as a reflection in the window). (00:01:30)
Visible crew/equipment: When Teal'c is being led away in chains Hammond says the chains were Maybourne's idea, and as the camera is dollying out the chalk T-mark becomes visible on the floor at Jack's feet, particularly when he walks away. (00:11:00)
Visible crew/equipment: At the very start in the briefing room, the Trinium is being passed to Sam and Jack as the camera tracks left, and we can see the reflections of standing crew (Daniel, Sam, and Jack are seated) and the moving boom mic on the glass window, towards the left. (00:00:15)
Visible crew/equipment: While the Wolf/Dakaya is on his way to the stargate, you can see a hand on the left side, maybe calling/showing him to the right direction. (00:32:40)
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)
Touchstone - S2-E14
Character mistake: The team are finding out who could have stolen the weather device from Madrona and find an energy spike at the same time SG2 are on a mission. "But SG2's mission is galaxies away from Madrona" Says Teal'c. At this time the only missions the teams could go on was in our own galaxy and couldn't be galaxies away.