Competitive games where I can express skills individually

First of all, I apologize for any writing mistakes as english is not my first language.

I've played competitive games my whole life and they're basically all I've played since I started gaming, but lately it's been feeling very boring to try the same thing over again. The only ones I'm still enjoying are Overwatch and Supervive, but they're games I won't be playing for more than 2 hours a day and team play ruins the experience sometimes for Overwatch.

Is there any competitive game where skill matters and there's no team? I never had anything like that and it's just what I'm looking for right now