Lost Odyssey and Blue Dragon are two of my favorite JRPGs this gen, both on the 360. People will probably recommend Vesperia, but I couldn't get into that one. Half-Minute Hero on XBLA is a must.
Yakuza 3/4 are worth checking out on the PS3. Uncharted and Assassin's Creed, too.
Street Fighter IV the best fighting game.
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"When I was a young man, I had liberty, but I did not see it. I had time, but I did not know it."