Bourne takes out several men in the Waterloo station with hand to hand combat.
In the beginning, Bourne nurses a fairly bloody bullet wound, and two cops try to arrest him, but he disarms and knocks one over, and holds the other at gunpoint.
R violence type: blood and brutal.
A man is shot in the head by a sniper (we see a spurt of blood and see him lying dead on the ground with a pool of blood under his head.)
A man being tested in a training session shoots another man who's seated in the corner of a room with a hood over his head and his hands bound.
A bomb explodes as a car drives by, killing the man in the car; all we see is the explosion.
Two men get into a long and brutal fight in an apartment, and one of them throws the other down and mercilessly punches him. A woman tries to attack him, but he kicks her and knocks her down. The other man recovers and both continue to fight, hitting each other with different objects. Their fight goes into the bathroom, where one of them finally puts the other into a hold until he loses consciousness.
Overall, the movie is quite intense, but the body count is very low for an action movie. Although it's frenetic and somewhat jarring, and includes lots of hand-to-hand combat, injury, and explosions, it maintains a lot of violence.