First time rooting

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http://androidforums.com – Read some of the guides here and I think this is a good path to go down. I'm happy with the process of actually rooting, but I'm confused as to what ROM I want to go for. I have an S3 (GT-9300) and fed up of the Jelly Bean update having killed a lot of things off. Stuttering MP3s, iBolt kit no longer useful, horrendous battery life, etc... In an nutshell, is there anywhere I can see what ROMs are available, with the differences between them, etc? Just looking for stability and non-stupid things? (General)