Archer mentions playing a softball game against Gary's Olde Town Tavern, which was the rival bar to Cheers. This was a recurring event throughout Cheers (1982)' 11-season run.
When Archer is familiarizing himself with the laser, he talks about "blasting womprats in my T-16 back home". This is a reference to Luke Skywalker's line in Star Wars: Episode IV - A New Hope (1977).
Krieger mentions phrenology and gets compared to George Combe. George Combe was a 19th-century Scottish lawyer and spokesman of the phrenological movement for over 20 years.