That really sucks, but you need to move on without him.
What counts as cheating can differ from one couple to another, but both need to agree on the definition. You don't want him kissing other girls, than it's not acceptable whether he agrees or not. He should respect you enough to keep it in his pants.
He says the only reason the kiss didn't happen is because the other girl stopped him? Then what happens when he tries to kiss another girl that doesn't stop him?
Being drunk is no excuse. This sounds like a very unhealthy relationship.
Good luck hun *hugs*