The End Is the Beginning - S1-E3
Continuity mistake: When the hologram is removing the shrapnel from Cristobal 'Chris' Rios' shoulder, he holds the tool at an entirely different angle depending from the shot. (00:20:30)
Remembrance - S1-E1
Continuity mistake: Dahj's boyfriend stands to go get something from the replicator. Dahj has her hands off camera, but in the wider angle she is leaning against her right arm and has the wine glass lifted, so both should have been visible. (00:04:55)
Remembrance - S1-E1
Continuity mistake: Dahj is fighting the last remaining assailant on the rooftop. The guy tries to use a rifle on her...swinging it like a mace, for some reason. She disarms him and the rifle falls joining the helmet on the ground. When she picks the weapon up, the helmet is gone. (00:32:30)
Plot hole: Mr. Vup is a Beta Annari, and they can, as it is stated (and for comedy purpose stated again) literally "smell" lies. However, Raffi gives Rios a unique concoction that camouflages lies, and it is made of drugs (beta blockers, anxiolytics, benzos). At least two things don't make sense here. First, Picard gets no shot and his whole flamboyant performance is one big lie from beginning to end, but he is not sniffed out - you'd also assume they could easily tell he has both eyes, since they have various detectors. Second, when the substances kick in as Rios is forced to lie openly, even us the audience, as olfactory-impaired as we are, can see he is getting high as a kite from him making a funny face; a species that can detect subtle changes in a metabolism over a simple lie, surely would detect when someone has such a dramatic alteration in front of their eyes - and see that as a telltale sign of something fishy going on.
The End Is the Beginning - S1-E3
Continuity mistake: In her quarters Soji tells Narek "If you had asked me 5 minutes" etc.; her mundane-looking special necklace pops out of her shirt's collar on her right. After a brief reverse shot when she does move her neck, her necklace is all the way in front of her collar on the left. (00:36:05)
The End Is the Beginning - S1-E3
Continuity mistake: After the action scene at Chateau Picard, we see Soji talking with Ramdha. Ramdha is placing the romulan tarots in configurations not coherent between shots; for instance when Soji says "the pixmit, how do they work?" there's a space she'd wedge the card in, but in the overhead close-up she is putting it to the side of two cards. (00:31:00)
Remembrance - S1-E1
Continuity mistake: Laris is fixing Picard's tie. In the background a technician from the TV crew passes in front of Zhaban. New shot, with Picard unironically saying "A la guillotine, alors", and the man is passing in front of the Romulan again. (00:11:10)
The End Is the Beginning - S1-E3
Continuity mistake: In the flashback, Jean-Luc Picard walks away from the Federation building and his number 1 Raffi Musiker notices him while she's using the touchpad. She gets up, tablet in her right hand. Next shot and she's running towards him with the tablet in her left hand. (00:02:05)
Remembrance - S1-E1
Continuity mistake: The level of tea in the cups during the hand of poker that opens the series keeps changing between shots. (00:00:50)
Chosen answer: My guess is that they go to 1 place and they can't chose where to go. Like a highway without exits, you just end up where the highway stops.
lionhead