Verizon Samsung Galaxy S3 is now ready to join the Android 4.4.2 (KitKat) party thanks to the latest CyanogenMod 11.0 nightly ROM. This ROM is a nightly build, so expect a few bugs and performance issues here and there, but on the positive side of things, at least you are not dependent on an official update from Verizon anymore.
At this point it is pretty futile mentioning this, but going down the hackery road will result in the warranty of your Verizon Galaxy S3 getting void, i.e., whatever of it is left anyway. That said, here are the instructions on how to flash CyanogenMod 11.0 (Android 4.4.2 KitKat) nightly on your handset.
How to Update to Android 4.4.2 via CM 11 (Instructions)
Step 1: Download the official Android 4.4.2 CyanogenMod 11.0 nightly for your device here. Once done, download the stock Google apps (Gmail, Hangouts, etc) from here.
Step 2: Install a compatible recovery for your Verizon Samsung Galaxy S3 from here.
Step 3: Connect your Samsung Galaxy S3 to your computer and place the .zip files downloaded in the step 1 in the root folder of your SD card. Remember, do not unzip these files or place them anywhere else.
Step 4: This step is optional for advanced users but for everybody else, we highly recommend you to make a NANDroid backup of your current ROM so that if anything goes wrong, you are just a flash away from restoring things as they were before.
Step 5: Switch off your Galaxy S3 and now hold down the Volume Down, Home, & Power buttons simultaneously to enter into Download Mode.
Step 6: In this mode the touchscreen won’t work, use the Volume buttons and the power button to navigate. Once you get a hang of how things work, perform a complete wipe (data+cache).
Step 7: Flash the CyanogenMod file downloaded in the first step and then the Google apps file (if downloaded in the first step). This step might take a while so let the device do its thing. Whatever happens, don’t let the device switch off.
Step 8: Reboot your Verizon Samsung Galaxy S3. This is also going to take a little time (somewhere around 2-5 minutes), be patient.
Step 9: Once your Verizon Galaxy S3 has been rebooted successfully, dive into settings to verify the Android version.
Step 10: Praise our lord and saviour Google for making Android an open source project.
Once again, this ROM is a nightly build so don’t expect it to be perfect. If you are going to flash it on your Samsung Galaxy S3, expect at least a few bugs and issues. In case you have any questions, please don’t hesitate to either ask in the comments section or post on the original thread on XDA.