Dadaists Gone Wild is a surrealist platformer. That is, much of the time it's a typical platformer, but quite often you encounter a "powerup" that changes the nature of the gameplay drastically for some time.
For example, the next time you jump after getting the "hat" in the image above, you fly upward indefinitely, and must maneuver to avoid obstacles along the way -- and to get to the powerup that changes the game back to normal play.
The surrealist nature of the game is compounded by the nonsensical text (e.g., "I am Hat, here me roar" does nothing to impart information about what happens next) as well as the oddness of the obstacles you encounter -- weird snake-like things, floating eyeballs, invisible platforms, and the like. There's also a Messhof-inspired truck level.
In its own peculiar way, Dadaists is everything an indie game, or at least a certain style of indie game, should be -- unpolished, primitive, offbeat, and curiously charming.