There isn't very many. Skyrim was able to run without steam for quite a while, but they have since patched it. I just went through the top 10 or so games I play right now and all of them opened steam automatically once I ran the .exe. If I tried to exit out of steam after the game was open it would say please close the game before exiting steam.
I have over 70 games on Steam, but I agree with Fuell about not liking all DRM. I prefer Steam for one reason and only one reason, I started out using it. Given the choice, I would gladly do away with it if I could launch my games without steam . I use Origin as well. I feel the same way about it. I don't hate it any more or less than steam. They are all bad in my opinion. I'd wager a vast majority love steam so much because it was the first one they had more than a few games on and didn't want to fragment their library, with a little sprinkling of bandwagon steam loving.