Continuity mistake: Ashley Barrett is first seen behind Homelander, but then in the next shot she immediately jumps in front of him. (00:19:32)
Continuity mistake: Elisabeth Shue is talking to Homelander by her car. As she gets her baby out of the car, she says "can we please just talk later" and has a muslin hanging over her right shoulder, turns around, and from the reverse angle the muslin is bundled up in front of her, not over her shoulder at all. Then the angle changes again and it's back where it was before.
You Found Me - S1-E8
Continuity mistake: When Mallory is holding the binoculars up to her eyes, next shot they're instantly down. (00:14:10)
Proper Preparation and Planning - S2-E2
Continuity mistake: Frenchie has some decorations on his shoulders, shot changes and when back on Frenchie the decorations aren't there. (00:37:41)
Continuity mistake: Whilst Neuman is having lunch with Hughie, when she asks "How'd surveillance go with Termite last night", she has her fork placed in the salad bowl. When the shot cuts to focus on Hughie, the fork is now in her mouth and then she lowers it back into the salad bowl. (00:17:48)