Largely a solo pursuit/escape/get-away for me.
Once in a while, when my brother visits, we'll play something. We beat Brawl Brothers earlier this year and I also introduced him to the awesome BS Out of Bounds Golf game on SNES, and he loves that game.
Also, Christmas is a family gathering time where usually we get our Super Bomberman on. Last Christmas I spent over 2 hours playing Super Bomberman 2 and TMNT IV with two of my cousins -- it was an old school blast. Really a fond memory for me
Other than that, it's mainly solo. Which is fine, since I'm going through a lot of the great SNES 1-player only games right now