Continuity mistake: After Frasier passes the pink box with the birthday cake over to Daphne the box is closed. But when the doorbell rings the lid is about halfway open, with no time for this change. (00:04:15)
Continuity mistake: Just before Marty says "Quack" to Daphne, his hands are in his lap. The next shot shows them on the arms of his chair. (00:05:40)
Continuity mistake: There is a bag of chips on Marty's little table that goes from being open but almost flat to being open much wider and the bag is very rounded, from one shot to another, but no one touches it. (00:18:05)
Continuity mistake: After Frasier is left alone in the apartment, we can see a glass of sherry and a can of beer on the coffee table, but neither item was on the table when he was talking to the others before they left the apartment. Roz's purse also shifted from the couch to the little glass table during the shot change. (00:21:20)
Continuity mistake: Just before Frasier says "What I want is to be left alone", Roz, Niles, Marty, and Daphne are standing at the door. The shot goes to Frasier, and then back to them, and they have all changed positions, with no time to have done this naturally. (00:21:25)
Other mistake: When the power outage occurs, Daphne claims she can't cook the steaks, however, the cook top in the kitchen is gas. They have matches as shown by them lighting the hurricane lamps.
Suggested correction: In episode 6:02, Frasier's Curse, Niles finds Frasier's head in the stove and is worried. Frasier responses "I was cleaning it, Niles. It's electric" The matches seen in episode 2:24 were more likely used for candles (like for Frasier's bath), not the oven, because it's electric.
The range is gas burning. You can see the grates and burners indicative of a gas cook-top. The comment regarding the matches wasn't used as proof the range is gas, but merely to point out they had the ability to light the gas cook-top (to avoid someone correcting the mistake by saying maybe they had no matches). The mistake is valid. In s06e02, the cook-top is still gas and one may want to submit a character mistake for that episode because Frasier says it's electric when we see it's gas. However, if one submits the mistake, be prepared for someone to correct the mistake by pointing out that dual fuel ranges exist, so the oven could be electric and cook-top gas, Frasier has an electric oven and gas stove, or Frasier was simply lying.