Android 7.0/7.1 Nougat is not yet available for other models of Galaxy S3 but as soon as it is available, I should have an update. For right now though, this is definitely a fun working Nougat ROM to play with on your S3 so give it a test drive this week(end) and do let me know what you think!
Download CM14.1 ROM for Galaxy S3 GT-i9300 – Download
To install, reboot into recovery, make backup ROM, format /system, wipe data/factory reset, install ROM, install Gapps, and reboot.
If you have AT&T or Verizon S3 with locked bootloader (Android 4.3 or up) and using SafeStrap, YOU CANNOT INSTALL THIS ROM, SORRY!