Screen display- Nexus 4 Bigger is better
Software- Android 4.2>> Touchwiz My ROM 4.1.2
Note 2 is on android 4.1.2.
4.2 have new security features. Yall still getting malware threats weekly
Build Quality- Nexus 4
Camera-Tie
Radio- N4
Features- Note 2
Speed- Nexus 4
sound- Note 2
Hardware-Nexus 4
Battery-Note 2
Lag free-Nexus 4
updates- Nexus 4
The Note 2 wins display based off of screen size alone.
I run a ROM so I have most of the 4.2 apps/upgrades.
Radio?
Speed- Lets talk day to day real world use
Hardware-Nexus 4 is a quality device
But based off of day to day use battery life and size of display the Note 2 is the best phone for me. But the Nexus is 2nd then the S3 is third the DNA 4th