While Samsung is still working on a Android 4.2.2 ROM for the Galaxy S3, you get the CM 10.1 version of it from XDA. Dragon7780 has released a DragonXS ROM for the S3 that is based on CM10.1 and AOKP framework. Here are its features.
Fully themed (Also ThemeManager included)
Battery Styles (Deluxe) [big thanks to Osama Ghareeb]
Breathing SMS option
Battery styles (Circle and also battery bar)
Navigation bar (Fully customizable)
Sense recent apps (Fusion Style)
Breathing SMS and Missed Calls
Use widget carousel
Custom Carrier label
Dual Pane options
Status bar color and transparency
Clock and date options
Recents RAM bar (Fully customizable)
Clock widget for LockClock
CRT screen animation on/off
Enable/disable wake up on charge option
Koush Superuser implemented
Performance options and features
The ROM is pre-rooted as it includes Koush super user which gives you root. You can download the ROM from here.
Recommended Full Wipe When Coming From Other Rom.
1st Time Installing Fusion rom
1. Download the rom.zip
place rom.zip on internal SD card.
2. In recovery do a full wipe :
WIPE DATA/FACTORY RESET
3. Install the rom.zip
Already installed Fusion rom
1. Download the zip
place rom.zip on internal sd
2. Install the rom.zip from recovery