Lots of them. (Score 1)

I have some similar problems. My wife enjoys playing games, but she doesn't enjoy getting obliterated by me when we play. I've found a few solutions. MMORPGS work great and are some of the best for cooperative play. WoW is one of the best ones because of the simplicity to learn to play and it seems to appeal to women more than some of the others. I would say that others to consider (based on how much my wife has enjoyed them) would be in order - City of Heroes, D&D Online, and Guild Wars. RTS games work as well. Most any RTS game I've played lets you play cooperatively against the computer, plus it can work out nice when she starts to get obliterated by the computer and you can come down to her rescue. A little work and you can find the right mix of computer AI and number of opponants that suits you. We've played a few of these including Starcraft and the middle earth one. FPS are kind of iffy. My wife and I have enjoyed the Star Wars Battlefront games, but some like Battlefield 2 seem to have kind of stupid AIs. When you bump up the difficulty they are stupid but accurate, and I really don't like that. FPS games aren't my specialty though, so I'm not as good reccomending titles there, other than the Star Wars one. Many others had good suggestions on consoles if you have one. My wife and I have computers and no console, so all of our games are PC. Personally I've found that the online RPGs are some of the best ones.