Continuity: Tom is sitting on Frasier's couch and has one hand on the arm of the couch and one on his knee. In the next shot he has both hands in front of him.
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Quotes
Daphne: It makes me glad we don't have so many guns in England.
Frasier: You don't need guns, you have kidney pie.
Trivia
Frasier was not originally meant to have a brother. But the show's creators saw David Hyde Pierce and realised he looked remarkably like a younger Kelsey Grammer. So the character of Niles was created especially for him. See more...
Frasier (1993) - 3 mistakes in "The Matchmaker"
starring David Hyde Pierce, Jane Leeves, John Mahoney, Kelsey Grammer, Peri Gilpin (add more)
Updates: 
Series 10
The Matchmaker (season 2, episode 3)
Continuity: Near the beginning of the show, Daphne is having a smoke, and Frasier takes it from her - her hand is on her knee but when the shot changes it is in her lap.
Continuity: Niles goes to Frasier's apartment and meets Tom, the new station manager. Niles is talking to him with his hands clasped in front of him but in the next shot his hand are clasped behind his back.
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