Competitive fighting games are the ones where two or more characters face each others in head-to-head battles, such as Street Fighter, Mortal Kombat, Fatal Fury, Tekken, etc.
There are 31 posts tagged with Competitive fighting here.
Arm of Revenge is an awesome Flash fighting game that is calling all the fighters on Earth, specially the ones who like Street Fighter, King of Fighters, Streets of Rage, Devil May Cry or Shank.
Renegade is a classic side-scrolling beat 'em up developed by Technos and originally released to the arcades in 1986 where you'll control a street brawler against four different gangs, as he fights to rescue his girlfriend.