Here is a collection of Android Nougat ROMs for Galaxy S3 (i9300). Galaxy S3 being a very old device will not be getting official Android Nougat update for sure. But thanks to the Android’s open source ecosystem and with the availability of so many Custom ROM options, Galaxy S3 users will still be getting latest Android updates almost as soon as the source code is released.
For now this list might be have a smaller collection but eventually will be updated according to the availability of new Nougat ROMs for Galaxy S3. This list will give all available Android *Nougat* ROMs ONLY, for the Galaxy S3. If you are looking for some legacy Marshmallow based ROMs then you may look into the Lineage OS 13 ROMs list or the CM13 ROMs list.
Out of all the Nougat ROMs list, Lineage OS 14.1 ROM is just a new avatar of CyanogenMod 14.1 and will be continued in future. Further more there will be no CyanogenMod 14.1 (UNOFFICIAL or OFFICIAL) development will take place as all of the developers are more or less moved to Lineage OS code base. That’s why the CM based ROMs are marked as *DEPRECATED*.
Google’s Android is open source but not the Applications and hence all these Nougat Custom ROMs come without any Google Applications installed because of some proprietary apps issue with Google. Although all the ROMs will have link to the Nougat Gapps but for quick access you can get here all the Android Nougat GApps.
This list will be updated when we will have some more Android Nougat Custom ROMs available for Galaxy S3. If you find a custom ROM based on Android Nougat for the Galaxy S3 which is not here then please place a link in the comments section and I will update that in this list of collection.