Peter says "So you're going to name the school after the guy from Space 1999" "No that's Martin Landau"
In James Woods' appearance in the Family Guy episode "Peter's Got Woods", he shows Videodrome to Peter Griffin. When Peter asks about the film's nudity, Woods proudly points out that he shows his butt in the film.
Peter says "The guy from Platoon?" Brain replies with "Charlie Sheen"
Peter says "I haven't been this freaked out since that episode of Star Trek"
Peter mentions "The guy who played Sheneneh" then Brian says "Martin Lawrence"
Peter says "We've got to come up with a crazy scheme like the kids on That 70s Show"
Peter mentions "The guy from the West Wing" then Brian says "Martin Sheen"
Peter visits Barney Rubble from this show at his house. Many things including the music make fun of the show.
Peter is excited about his new friend, James Woods, and parodies the song "You Two"
Peter spoofs the last scene with Brian
The doo-wop style chant of the name "Shauna" is taken from the police station scene of this film with Charlie Sheen.
Characters watch this on TV, we see a clip lampooning it.