Delenda Est - S3-E11
Revealing mistake: When Dylan and Tyr head to a bridge where supposedly the power source is located as well as Rommie, they start to cross the bridge. As the camera is facing Dylan and Tyr, the next scene two aliens teleport in. Rewind the video to facing Dylan and Tyr and play in slow motion. Watch the bottom portion of the screen and notice the top portion of one of the alien's head go into the camera as if the aliens walked into position for the teleportation.
Fear Burns Down to Ashes - S4-E15
Continuity mistake: Rev Bem returns for this episode, however the costume department seems to have forgotten all the changes his character went through in S3 "What Happens to a Rev Deferred?" His face is distinctly more Magog than it should be, and his hands have reverted back into clawed fingers.
The Prince - S2-E10
Revealing mistake: As Eric is rushing on his ambitious start while talking to Dylan and Tyr, the hologram of Andromeda appears to talk about a ship approaching from Slipstream. Eric tries to continue, but Dylan asks him to wait. Eric turns around and you can see his reflection mirrored onto the hologram.
Plot hole: The way slipstream works is wildly inconsistent across the show. Sometimes, they have to travel a significant distance to find the nearest slip point, and other times, when it's required by the plot, there's a slip point conveniently right next to the ship.
Suggested correction: How is this a mistake? Unless the points are evenly distributed and all close to each other, they are going to be different distances away.