When Niles begins to tell Kit that he wants to break up with her, her tray initially has very little on it, in the next shot is loaded, then in the following shot has very little on it before she eventually drops it.
In the last scene at the bar, Frasier's martini is served without a stir stick. In the next shot, it has a red stir stick, Niles orders a drink, and a second later it shows Frasier's martini again without the stir stick.