I'd say you're not burned out if you're still playing Skyrim. How many times can you dive the same* dungeon for random loot without feeling burned out? It's not like the combat system is actually "fun," so what's the appeal?
I shouldn't say this on a game developer's gaming board in a "what are you playing" thread, but why not read a book, or learn some fringe hobby like sailing (admittedly, if you went to Yale or live on 5th avenue in Manhattan you probably have a few Yachts already,) or survival training (not like hoarding guns, but learning to be like Les Stroud,) or practice archery in real life (if that appeals to you,) maybe even put in some overtime if employed? Sure it's "less fun" than Skyrim, but if you're really burnt out you might as well do something else that will reset the metaphorical cooldown on gaming burnout.
*Yes, the geometric layout is different, but in the end, aren't they all the same, even taking into account the 4 different "tilesets"?