Guy Fleegman: I'm not even supposed to be here! I'm just "Crewman Number Six"! I'm expendable! I'm the guy in the episode who dies to prove how serious the situation is! I've gotta get outta here!
When Commander Taggert (Tim Allen) and Lt. Madison (Sigourney Weaver) first see the hallway with the chompers, she says, "Oh, screw that!" but if you watch her lips she clearly uses the 'f' word instead of 'screw'.
The scene near the end of the film where the bad guy kills all of the Galaxy Quest crew is very similar to a scene in the '70s British sci-fi TV show Blake's 7. In that scene, the crew are shot one by one in the same fashion as in this scene.