Fifty-Fifty - S1-E3
Deliberate mistake: Towards the end, Roy's sunglasses keep changing, in almost every shot. It's so blatant that it must be deliberate, but there's no reference made to what might be the reasoning behind it.
Suggested correction: There is though. Roy is trying on different sunglasses because he wants to look like a bastard. It's merely for comic effect that he's changing the sunglasses when the camera is on Moss.
Deliberate mistake: When Roy and Moss are in Jen's office talking about her slipping up, the computer monitor disappears from her table in the wide shots so you can see the actress.
Suggested correction: It's there the whole time. It's a thin monitor and it lines up with Roy's leg, so it might have been hard to see.
The Haunting Of Bill Crouse - S1-E5
Continuity mistake: Bill Crouse is sitting at a desk talking to his colleague about Jen. The first two shots show him sitting back on the chair with his legs up on the desk. The next shot, he has instantly moved to sitting normally with his legs down and leaning forward. (00:14:20)
Suggested correction: After he says he was the last person to sleep with Jen, the camera is off him for at least 4 seconds, enough time for him to sit up.
Character mistake: When Moss is actually on Countdown, the host calls Moss' opponent "Jeremy" once, when he asks how long his word is, and again when he asks him for the word. Moss' word is longer and the host remarks that Moss will probably win, and apologizes to the opponent but this time calls him "Jonathan." (00:01:49 - 00:02:30)
Suggested correction: He says Jermey. However, I do know Netflix's closed captions says "Johnathan", but that's not a character mistake for the show.
I'm not referring to closed captions on Netflix. I'm talking about what the host actually says out loud. He says Jeremy first and then "Sorry Jonathan" later.
I know what you were referring to. I listened multiple times and he says "Jeremy" every time.
Fifty-Fifty - S1-E3
Factual error: It doesn't make sense that Daniel would be researching classical music, or that he chooses Jen as his 'phone a friend' because of her apparent knowledge on the subject, because there are no topic categories on 'Who Wants To Be A Millionaire' - the questions are entirely random, Daniel would have no way of knowing one of the questions he'd be asked would be about a particular topic.
Suggested correction: That's exactly why he was studying classical music, he didn't know what topics would be covered and he wanted to have a good knowledge of various topics. Since Jen appeared more knowledgeable in classical music than he did, he wanted her to be one of his phone-a-friend in case he came across a classical music question that stumped him. At the time, a contestant pre-arranged with producers 3 friends to be considered as a phone-a-friend. Daniel undoubtedly had 2 other friends or relatives that had greater knowledge on other topics than he did.
There's no way Daniel just happened to be studying classical music and seemingly nothing else, he didn't ask Jen about any other subject, the episode implied that Daniel was studying classical music as though it was a dead cert that a question would appear. This wouldn't be the case with Millionaire.
He would if he knew that classical music was an area he was particularly bad in. For example I would study as much American history as possible because it's my worst subject. But I'd also have my husband as a lifeline because he happens to be a history buff. It makes sense that Daniel would have Jen as one of his three lifelines if it seems that she's an expert at something he's awful in. Presumably his other two lifelines are knowledgeable in other strategic areas as well.

Continuity mistake: Moss and Roy are in Jen's office to ask her if they should "connect her to the matrix", while Jen is working on her computer. Jen shouts back, asking them to stop undermining her, and the monitor has disappeared. (00:13:45)
Suggested correction: The monitor blended in with Roy's jeans.