A few grammar problems, first: 1. 'Slang' is an uncountable/abstract noun. You can't say 'slangs'. The word doesn't exist. You could say 'slang expressions' if you want. However, none of these words are really slang at all. 'Addicted' is a neutral word, and I've given you some more informal terms below. 2. 'Addicted' is the past participle of a verb, used as an adjective in the phrase 'to be addicted to something'. It is not a noun, so it is ungrammatical to say 'I am a .... addicted'. You can say 'I am addicted to games' or 'I am a game addict'. Note that in the first sentence, 'games' is plural, because you are speaking about games in general. In the second sentence, 'game' is singular because it is part of a compound noun 'a game addict'. If you want some more colloquial expressions, also referring to drug addiction, you could say: 'I'm completely hooked on games.' or 'I'm a real game junkie.' I hope that helps.

I am obsessed with ___/ I am very keen on ______/I am a real _____ enthusiast/ I am a big fan of ______

You could be "totally consumed by gaming" if you don't want to use "addicted".

Instead of game addicted try using game addict. Ex. He is a game addict He is addicted to gaming Maybe instead of addict u can try He is hooked on video games.