Mutants and Masterminds
Mutants and Masterminds is a d20(ish) system published by Green Ronin (I guess they did a weeaboo game too). Unlike a lot of other d20 games, this one only uses twenty-sided dice. Players make their own superheroes (or supervillains- there's no alignment in this game) and slug it out with each other or NPC characters.
The game revolves around power levels (M&M's version of character levels or challenge ratings). The standard PL for a player character is 10; this is about the equivalent of a normal comic-book superhero. PL 5 characters are more "street-level", PL 15 characters are more akin to Superman or other heavyweights.
Power levels don't necessarily correspond to actual superpowers - a PL 10 Batman-type character could have a lot of gadgets and other "realistic" skills that puts her on the same level as someone who can fly unaided and shoot rocket dongs from his hands.
There aren't any hit points in M&M; all attacks are either rated as lethal or not. When you get hit, you roll to see how much it affects you, and depending on what hit you, you either get stunned, knocked out or killed.
You can also get knocked away some 27000 ft. by a fucking Hulk rip-off drug addict and spend special Hero Points to get up video game style, which are then replaced when you do a very heroic thing.