I was quite dissatisfied with the way the Note handles games. This was quite apparant in Need for Speed Most Wanted and Asphalt 8 where the anti aliasing was horrible. Changing these settings in Developer Options did the trick for me:
-Disable hardware overlays on
-Force GPU rendering on
-Enable 4x MSAA on
Graphics in NFSMW actually look real crisp now and the stuttering has gone away as well. There's no impact on battery life that I've noticed. Overall animations in the OS have been a tad smoother as well even though that might be a placebo effect haha.
Note: Some of these options might or might not have been turned on already if you're on a custom rom, it's worth checking!