Murphy's Law - S1-E4
Continuity mistake: When Clarke and Finn are undressing in the bunker, right after Clarke takes her shirt off in a closer shot they both have bare shoulders. In the following shot Finn has his shirt on once again before pulling it over his head. (00:39:30)
Continuity mistake: When Charlie is climbing down the cliff the rope comes undone from the tree stump, but a few seconds later you see it still tied to the stump. (00:12:00 - 00:12:45)
Earth Skills - S1-E2
Clarke: Follow me.
Bellamy: And why would I do that?
Clarke: Because you want them to follow you. And right now they're thinking only one of us is scared.