PS2-Greatest Game for Each Genre

Wrestling

Shoot Em Up

Fighting

Adventure

Also, what is the most violent game on PS2?

Pride (if you take that)

Uh...Socom? or do you mean Gungrave shoot-em up?

Guilty Gear XX

Ratchet and Clank 2

most violent...uh, I don't know

DefJam fight for NY or PrideFC or King of Colliseum 2

Red Dead Revolver is a fun fun shoot'em up

Virtual Fighter 4 Evolution or Tekken

Ratchet and Clank 2 or Jak 2

Manhunt is the most violent

Wrestling: Def Jam Fight For New York

Shoot Em Up: Trick question, they all suck.

Fighting: Capcom vs. SNK 2

Adventure: It really depends on what you consider an adventure game. But for the sake of giving an answer, I'll say Prince Of Persia: The Sands Of Time.

Most Violent: Manhunt

Manhunt no contest for violent.

Talking about the greatest games for PS2 and not mentioning any of the Grand Theft Auto games is sacrilige.