According to your options, mostly Public, standard 100 point dogfight.
Though my Public games are at my local gaming pub, and I don't consider the other players strangers at this point.
Our pub runs leagues and tries to put some non-standard format games into the mix.
I also participate in my local tournament scene. Some are strangers, some I at least recognize from other events.
I used to only game (other gaming, before getting into X-Wing) with friends, but I'm very glad I got out there to play some public games. I play so much more, the X-Wing community is aweseome, and I've grown to appreciate competitive play.
Edited by Koing907