Well, you can't actually work any Burton characters into it because that would be copyright violation. And drawing 'bootleg' versions of those characters would be very lame. But how about trademark Burton environments? Have a look at The Nightmare Before Christmas, The Corpse Bride, Sweeney Todd, Alice in Wonderland, Frankenweener... See what sort of things from the environment you can work into the room. Like Burton's fetish for dreery dead trees, or Sweeney Todd's barber chair. Oogy Boogy's house.