Dr. Byron Orpheus: Mr. Venture is not suicidal.
Shoreleave: Oh, really? Why is he trying to hang himself from your tie?
Dr. Byron Orpheus: Because Mr. Venture is possessed!

Kevin: That's it. I'm going to bash the door down with my secret mind powers. Back up, Tim-Tom.
Tim-Tom: You don't have secret mind powers.
Kevin: That's because they're secret. Maybe even to me.
Tim-Tom: I have a key to the door
Kevin: Oh, whatever. It's just, now we'll never know about secret mind powers.

Dr. Mrs. the Monarch: Gary, you've seen too much.
Henchman 21: I've seen my only real friend die. I've seen a giant penny roll over a guy dressed like a rainbow. I've seen the Donkey Kong kill screen. I've seen attack ships on fire off the shoulder of Orion.
Dr. Mrs. the Monarch: Oh, G-A-R-Y! You ain't got no alibi! You're Gary! What, what?!? You're Gary!
Henchman 21: Okay, I have not seen that ever

Dr. Orpheus: This isn't a Gallagher 2 tour.

Gallagher is a stand-up prop comedian famed for smashing watermelons on stage and splattering the pieces on the front rows of his audience.

Henchman 21: You think he's going to bring back a pissed-off Billy Mahoney with him?

Billy Mahoney is a character in the 1990 movie Flatliners, which involved ghostly figures haunting med students who deliberately inflicted near-death experiences on themselves. Mahoney is a figure who appears to haunt Nelson (Kiefer Sutherland).

Henchman 21: I've seen attack ships on fire off the shoulder of Orion.

This line is from the 1982 movie Blade Runner. A dying replicant, Roy Batty, describes all the astonishing things that he's seen.

Henchman 21: We must drink. This is tranya.

As noted, the line is from the original Star Trek episode "The Corbomite Maneuver", when Balok, an alien played by a very young Clint Howard in a bald wig, offers the Enterprise visitors a drink.