Hmmm, for me the feeling of complete badassery come from a combination of genuine challenge, something can be as cool as it likes without challenge there no feeling of accomplishment. Mixed with.... actually I can't define what it is, it's swooping, beating, shooting, stealthing?, it's unique to each game.
Anyway a game to feel like a badass.... hmmm one that hasn't been mentioned, I've got admit there was a respectable amount of badass in the first few levels of mirrors edge, just something about outrunning a helicopter or disarming a police man or jumping between buildings. But don't play the second half of the game, it was shit.
Oh and Half life 2, right after the strider battle outside the suppression device place and the final battle of episode 2. Ah striders just so good to fight.