I'm a big Tabletop Simulator / Tabletop Playground guy myself, and it tends to be the easiest way to get a bunch of real-life friends together when we can't actually be together. I tend to like longer form slower paced games that can be played passively, like 4X games; it's just a more fun environment when you just want to chill and chat/play.
For fun competitive games where chatting is secondary to the competitive experience, probably Age of Empires 2!