I think the biggest thing like what was mentioned is replayability/online play. I'm in the same boat where I really generally only like games with some type of Multiplayer capability. If it doesn't than it would have to have some insane replay value for me to consider it.
I think games that have been the most successful are games that allow you to experience and utilize a lot of the game in singleplayer but leave you wanting more... a la multiplayer. This would be games like Starcraft where after the campaign you have an idea of what is good. (or at least way back when now bnet is a different place with the money maps).
Also games like Half-life where you learn the need of cover and twitch reaction speed.
The second biggest thing to me is graphics and physics. I can live with medium graphics if the explosions and ragdolls are good. Or in space or something say bits of the ship fly off like in Empire at War. If the physics aren't going to be anything great than the graphics better be amazing.
Basically I look for something that will make me think, but not frustrate me into boredom. I am looking forward to what will come in the future.
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