Continuity mistake: When the vase is broken during the swordfight, notice the way it has been damaged. When Niles comes back down the stairs, the damage to the vase is different.
Agents in America, Part III - S2-E22
Continuity mistake: When Frasier is watching, and complaining about Xena, his hand alternates between being on the arm of the sofa and on his leg between shots.
Agents in America, Part III - S2-E22
Continuity mistake: When he goes out of the window, Frasier takes off his tie, and there is then a closer shot of him. Suddenly his top shirt button is undone, which it wasn't in the wider shot.
Agents in America, Part III - S2-E22
Continuity mistake: Roz is at Frazier's talking about a possible replacement for him at KACL. As she says "you should she her nails", her arms are crossed over her chest but in the very next shot, they are down by her sides, with no time for the change.
Agents in America, Part III - S2-E22
Continuity mistake: As Bebe says, "Darling, what you have is a fever" to Frasier, her hands are on the table in front of her. He says "what?" and the shot shows her elbows on the table and her hands are in the air, with no time for natural change.
Agents in America, Part III - S2-E22
Continuity mistake: At the beginning of the show, Niles and Frasier are in Cafe Nervosa. As Niles says "Matthew Pimm tried to stage a coup", we can see Frasier's hand on his napkin next to his mug. As the shot changes, suddenly both of Frasier's hands are on his mug.
Revealing mistake: I think there might be something wrong with the eels in this episode. They don't move in the tank, despite being alive and don't move when taken out either. Moreover, you cannot actually see any in the tank with one exception. Rubber replacements not up to standard obviously.
Continuity mistake: During the scene where Niles tells the chef to serve the souffle in a large bowl, there is a large bowl of food next to him with no utensil in it. When Niles says "Table Twelve is still waiting for their entree", there is suddenly a utensil sticking up in the center of the bowl.
Continuity mistake: Frasier is holding a plate of food in the kitchen, but after Roz comes in with the exploded cherries jubilee all over her, the food on his plate has changed completely. It could not have been affected by the cherries jubilee explosion as he had his back to the door when that happened.
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.