Objectively... Wii > 360 > PS3
Subjectively... 360 > Wii > PS3
As someone who isn't entirely into JRPG games, the PS3 is obviously at a distinct disadvantage, the majority of their exclusives were geared towards that fanbase. To this day, I've never played a God of War game, I own them all, but I've never played one. It just goes into how unwilling I am to make time to play my PS3. Doesn't help that Sony caused so many problems with their systems and their systems had so many problems. Early 360's had high failure rates, but I didn't early adopt ANY console that generation... maybe the Wii. I bought my first PS3 solely because of the touted Other OS feature. At the time I was doing cyber security stuff in college, so Linux on PS3 was a cool thing to do. They took that away. I traded in my console for a slim. The ONE JRPG I tried to play had giant graphical flaws on that PS3. Bought an OG BC PS3, burned out after a few months. PS3 cost me so much money that generation. It deserves its place at the bottom of the list.
Every 360 I had, when it broke, broke within the warranty period. Microsoft and the store I bought them from, always fixed the issue quickly and without cost. I've gone through 2 or 3 360s, but it never cost me anything. My OG got replaced with a Slim Halo Reach, my Reach got replaced with a Gears of War Slim. Still have the GoW slim. The obvious choice of the generation in terms of multiplatform support. Most games performed much better on the 360 due to it having a relatively simple architecture, whereas the PS3 had the Cell architecture which made optimization and coding a pain in the ass. Case in point, look at any Bethesda Game. Buggy as fuck no matter what, but definitely performs worlds better on 360 over PS3.
Wii... with its... motion controls... was a casual gamer success... but it just didn't have the viability for long term support. Nobody wanted to continually play with motion controls. They kind of learned from this with the Wii U... but too little too late. Great games like Smash Bros, Super Mario Galaxy, Skyward Sword, etc. The system has so many first party titles that stand out and a bunch of third party titles from major franchises that also hold their own... but the system just reinforced that "Nintendo is for kids" stereotype. I'd argue that Nintendo had the best exclusives of this generation, at the downside of the worst third party and multiplatform titles of the generation... but if you tried to argue with me, I'd either give or ignore. Also, never once had a Wii break or fail.