For those of you who want to receive OTA (over-the-air) updates and you can’t because you have a custom recovery installed during root, you can easily re-install stock recovery for your Galaxy S3.
Step 1. To, install stock recovery, simply put your phone in ODIN download mode first. Power off your phone then hold down Volume Down, Center Home, and Power buttons together for 5 seconds. Then hit Volume Up when you see warning screen to enter Download Mode.
Step 2. Download and unzip ODIN:
Step 3. Download stock recovery for your Galaxy S3. MAKE SURE YOU DOWNLOAD THE CORRECT STOCK RECOVERY FOR YOUR GALAXY S3!!!
Download Stock Recovery:
Download Stock Recovery for International Galaxy S3 GT-i9300
Step 4. Run ODIN program, DO NOT TOUCH ANYTHING ELSE but click on “PDA” then choose the stock recovery .tar file you downloaded and hit Start.
Step 5. Your phone will re-boot and you can now take OTA.