One of the scripts from the New You stations references to Skyrim. "Hey you're awake, you were trying to cross the border right?" Is from the very beginning when you wake up in the cart.
There is a magazine cover that says "going commando" with a naked (privates covered) Axton.
There is a legendary Maliwan sniper rifle named the Krakatoa which is a reference to a quote from Spongebob Squarepants. The red text "Get him angry, and he's bound to erupt!" is also a reference to Spongebob Squarepants.
There is a weapon in the game called the Skeksil, a refrence to the character in the 1982 film, the Dark Crystal.
The game furthers the notation that Tannis May be sexually attracted to inanimate objects by having her talk about a mine cart like a former lover, going as far as calling "her" an ex lover.