How do I find game nights that play my sort of games?

What I'm thinking about here is that I hear about game days/nights but I'm never sure what type of game they're thinking about playing, and I'm not sure of the vocabulary to say "here are the types of games I enjoy, do you play those?" (or vice versa, "here's the types of games we play, do you enjoy those?")

Also might be useful to talk about gaming styles (quick vs slow, chatty vs silent, aggressive vs cooperative) and how to interact with different styles or express what styles are acceptable.