It doesn't happen often that a US carrier releases a big update ahead of the International model. Well, this time T-Mobile really stood up for its customers and released Android 4.3 for Galaxy S3 T999 (non-LTE). The international GT-I9300 also received the update but it was full of bugs and Samsung decided to pull it off until it is fixed.
T-Mobile started the updates on November 19 for the original Galaxy S3 with Baseband version T999TUVUEMJC. The only new features mentioned on the official T-Mobile page are Samsung Knox and Galaxy Gear support. So don't expect something really amazing from this update. It will however make your device faster and smoother due to the new optimization implemented with Jelly Bean 4.3.
If you are on T-Mobile Galaxy S3 you can update in two ways:
Via OTA - over the air update starting with November 19
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