Just before the show starts, Bebe places her bag behind her chair. It appears and disappears every other time they are shown together.
Bebe refers to Bobo the chimp as a monkey. Chimpanzees are not monkeys--monkeys have tails and chimps don't.
During the opening scene in Cafe Nervosa, a wedding ring can be glimpsed on Kelsey Grammer's hand (though he tries to keep it out of sight behind the table). The ring disappears before the end of the scene.
Bebe (Harriet Sansom Harris) says, "There's an audience out there waiting for two people to ride in on a donkey..." The animal they ride in on, however, is a mule, not a donkey. A mule is a cross between a horse and a donkey. Although the smaller donkey would be the traditional mount for someone wearing a sombrero, it would have a difficult time carrying both Bebe and Frasier (Kelsey Grammer).
When Frasier cracks the second egg, he drops most of the shell into the bowl and then makes the pretense of putting the empty shell on the side.
When Frasier lists the ingredients he'll be cooking with, he points to the left and says 'spinach', the spinach is clearly on his right.