LD: "Second Contact" and "Envoys"
Star Trek comedy has a long history, of course: "The Trouble with Tribbles" (and all its sequels), "A Piece of the Action," "The Naked Now," "Samaritan Snare," and every Harry Mudd episode produced after "Mudd's Women." Not to mention novels like Trek to Madworld and How Much for Just the Planet.
The goal here is of course to have a Star Trek comedy series that pokes fun at everything but Star Trek itself, and I think it has succeeded.
As to character design, "Sparky" Schulz gave us the "big head" school of cartooning; Mort Walker gave us the "big foot" school of cartooning; this rather reminds me of the Jim Davis "Big Eyeballs" school of cartooning. Not that every other primetime animated series since The Simpsons didn't also have characters with absurdly big eyeballs.