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I'm not going make specific recommendations, because you should let your subjective taste be your guide. In other words play music you want to play, not music that people say you should play.
There are the classic composers such as Bach, Beethoven, Mozart, etc. Much of their music has been transcribed to guitar and is available in books which you could find through an online retailer. This music wasn't composed for the guitar and may not always sound like you're used to hearing it.
There are also classic guitar composers, i.e., musicians who play and compose specifically for the instrument, such as Sor, Carcassi, Villa Lobos, etc. Again there are a myriad of resources available. This music will be appropriate to the guitar obviously, but some of it may be challenging.
Before you do any of the above music, it would probably be good to start with a good beginner book or online lesson(s) that actually teach you musical notation, fingerings, rthyms, etc. And again there are lots of good resources through online retailers and free Web sites.
If you do a Internet search for Classical Guitar, just follow some of the links and explore. You will no doubt find a variety of sources of study and inspiration. Good luck.
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