Personally, I have all of these consoles and I prefer PS3.
Wii doesn't have that many great games - but I don't mind the capabilities of the console itself; it would probably be a good challenger for PS3 if it had more compelling titles.
Xbox 360 has technical and mechanical problems. I've never had the issue with a video game system being so sensitive to touch during game play. There was this one time my sister accidentally knocked into the system, pretty lightly actually, and it went berserk. I wouldn't have an issue with this if it didn't yield much consequence, but it does. Accidentally touching the Xbox in a certain way while it is on can completely ->-bleeped-<- up the CD that is currently in the Xbox. Within two months of having this, I literally almost lost two games because of this. The first time I wasn't aware of this issue and actually moved the Xbox while it was on - I've never had this problem with any other game console prior to this, so there was no reason for me to expect imminent disaster. I do like the edition of a customizable avatar on the Xbox that the ps3 lacks, but that's honestly not enough for me to redeem itself from its major flaws. In my opinion, it's touch sensor is also too hypersensitive. Sometimes my cats will rub against the console when its off and that's enough to turn the Xbox back on. Honestly, for the sake of not unknowingly overheating a system, this shouldn't be the case. Additional hard drives from the Xbox 360 are also overpriced.
I'd say the PS3 and Xbox have equally good game titles, but I've never experienced flaws that were unrelated to an individual game with the PS3. If anyone else has, they should feel free to tell me. But yeah, I'd have to say PS3 is the best gaming console out there right now, imho.