The Blue Board

Bigger screen, Bigger battery, Stylus Pen for the Note 2. Both use a quad core processor. The Note 2 clocks in at 1.6 GHz while the S3 clocks at 1.4 GHz. The Note 2 has a battery of 3100 MaH while the S3 has a 2100 MaH battery. Due to the slightly smaller screen of the S3, it has a higher ppi by about 40. I think its 305 ppi for S3, and 261 ppi for Note 2. Both use Android 4.1 Jellybean.

They are a lot alike. Hell, they look almost identical. I've looked at reviews for the Nexus 4, and besides it being directly from Google, I don't like it more than the Note 2, S3, or HTC One X+.