Revealing mistake: Just before he sees his wife in the crowd, he lifts the sword up, revealing a blade with very dull edges (unsharpened replica sword), which magically becomes super sharp 1 minute later when he slices the guy's head off without any problems. (01:27:20)
Continuity mistake: Tutankhamun and Suhad ride to the Mitanni city on a horse with no equipment at all, not even a saddle. Yet mysteriously when they need to stop for the night a large tent appears out of nowhere.
I Seem to Be Running Out of Dreams for Myself - S1-E1
Continuity mistake: Harry hands Walter Blunt a cup of liquid to drink, and Walter takes it in his hand. The next shot Harry still has the cup on a plate.
Episode #1.8 - S1-E8
Continuity mistake: Towards the end, as everyone's gathering outside, Ken Marino has his hand in the front pocket of his shorts. The shot switches to a view from behind, and it's in his back pocket. Back to the front, and it's back where it was before. (00:22:10)
Factual error: Detective Chief Inspector Kapoor is suddenly shown in uniform with inspector's rank insignia. Detectives never wear uniform (except rarely on formal occasions) and he has apparently dropped a rank.
The Elephant in the Room - S1-E2
Continuity mistake: When Phil storms out during dinner and comes back in, he closes the door (we even hear it latch). When he proposes to Carol, the door remains closed until after she says yes, then in one shot it is open and stays open, with no one touching it.