I personally prefer a better Single Player experience over anything else. Having solid online on the side is a must have nowadays though. It's no secret that I am a huge Final Fantasy fan, and FFXI is easily the only game in the series not to instantly click with me. XII set things straight again. I guess this just goes to show that I personally look for a good single player before I look at the online. It's no secret that a game needs both at this point in order to be something extraordinary.
It also somewhat depends on the type of game I am playing. Sports games are always more fun in multiplayer/online. The same applies for some shooters, but not others. For instance, games like MGS4 and Gears of War have amazing single player, but are also complemented by the online aspect. The single player side of them is still what makes them what they are to me.
