When Frog Stan asks Frog Soos if he's been licking himself again, it's a reference to the practice of licking certain frogs or toads for a hallucinogenic effect.
A triangle image resembling Bill Cipher is visible when the Curator and Anne are talking about the Skip Man.
The "Curiosity Hut" is a frog-version of the "Mystery Shack"' from a former Disney series, "Gravity Falls." The show's creator and star, Alex Hirsch, even returns to voice frog versions of his characters Stan and Soos.
The announcer (played by special guest star Kermit the Frog) says "let's keep this game cool and friendly-like," quoting Kermit's signature song, 'Bein' Green.'
Frog Soos calls the Curator "Mr. Ponds," a reference to "Mr. Pines" from "Gravity Falls."