There's a brutal fight in an alley between Roadblock and Firefly, and Firefly brutally punches him repeatedly until he falls (he bleeds slightly from his mouth). Firefly prepares to shoot him but is then hit by a car.
In the beginning of the film, many soldiers are killed during a night time raid.
A man and woman shoot and hit several guards outside a building, taking them all down. The man falls down a staircase and shoots several other men. The last man holds a gun to their allies head, and she shoots their ally non-fatally, and the man shoots the last attacker, killing him.
Many soldiers and ninjas are seen falling to their deaths throughout the movie.
A ninja stabs downward, killing a person though the victim is completely offscreen.
Most soldier deaths are fleeting or offscreen (rarely blood), while on lingering shots of screen victims usually receive knock out punches or kicks.
An atom bomb blows up England. You see all of London being destroyed by it.
The Extended Cut has more added violence, it's mostly bloodless, but it still has a lot of people being stabbed and shot onscreen.