I play the Wii on my own, with my husband, with my family, and even with my friends. We just got the Wii in April (a late Christmas present via Tax refund), and I'm hooked! We got ourselves a number of games. I especially like the Mario franchise. We played the Wii as a family last night; starting with Mario Kart (even my 3 yr. old). Then we took on Wii bowling. My 6 yr. old kicked my butt. We all enjoy playing.
My husband and I play Lego StarWars, Super Paper Mario, Super SmashBros Brawl, and Super Mario Galaxy.
When we have friends over, we play Mario Party 8.
Like I said, we love the Mario Franchise. We have other games as well, but Mario is our fav!