A drafting game that isn’t a deckbuilder or set collection? That exists, and its name is Enchanters: Overlords.
Fighting Board Games
A fighting game is any one which allows player-controlled units to engage each other in combat. This can be done on an individual level, as in BattleCON, or can be part of a broader give-and-take between factions, such as in Small World. Because this category is exceptionally large and varied, there are a wide array of game mechanics which may be used.
Many card brawlers try to be original. Epic doesn't hide its Magic influence. Check out our review of Epic the Card Game.