Many studies took place for Magic: The Gathering card game. They mainly deal about optimization of combos, and are naturally related to many problems in computability or complexity. Busy beavers are an instance of summits we can attain with Magic: The Gathering combos.
The precise mission of the article is:
to deal as much damage as you can to the opponent by the end of the first turn, yet a finite amount.
For a story of the developments of this fun yet serious problem, and description of the involved combos, see Sonic Center.