When Daphne comes to Martin's house for his exercises, she mentions her mom got the neighbor's cat drunk again. However, dogs and cats are not allowed pets at The Montana.
At the beginning of the school assembly, the principal says to the kids "Gameboys off." No school would ever let children have a video game console with them in an assembly (and certainly not in a classroom).
When Frasier and Roz leave the house, as Roz says "Frasier, I'm very proud of you" the shadow of the boom mic is visible above her head.