I always start legacies and never finish them--my fault for having the attention span of a gnat! That said, I'm still going to give it a go in Sims 4 :)
sims medieval, saints row, red dead redemption, left 4 dead, mass effect, gears of war, halo, and skyrim. I also like a lot of the lego games, simply because they make me laugh.
I started just after house party came out. A friend of mine told me I had to see this 'great new game' and I went over her house not expecting much, but got hooked big time. Been playing ever since :)