Samsung Galaxy Note 2 has some Custom ROM developed. Here are some Custom ROM for Samsung Galaxy Note 2 N7100. There are two type of Custom ROM, the first is ROM type is based on TouchWiz UI by Samsung and the second Custom ROM in based on AOSP. Here are the list, the link are linked to the official page at XDA-Developer.
TouchWiz Based Samsung Galaxy Note 2 Custom ROM
Android Revolution HD 4.0:
AOSP Based Samsung Galaxy Note 2 Custom ROM
Unofficial CyanogenMod 10 Experimental #2: