J.S. Bach - Sarabande BWV 1002, Bouree BWV 996
G. Sanz - Canarios
F. Tarrega - Capricho Arabe and Recuerdos de la Alhambra
A. Barrios Mangore - Inconclusive Study and La Catedral
A. York - Sunburst
S. Myers - Cavatina
H. Villa-Lobos - Prelude no.1, Etude no.1 and Choros no.1
Some Carulli, Mertz, Giuliani, Sor for classical era classical guitar repertoire. I think Caracassi and one of the four guys I've listed has dedicated studies/exercises/etudes that cover LH/RH.
I'm very sure that there are much more important and relevant studies for your LH/RH, but those pieces I've listed are like all the greatest hits! The pieces are... at around grade 6-8 level.
Don't forget to play 2-3 octaves of Major, melodic minor, natural minor and harmonic minor scales! Also, Pumping Nylon is a good book to read for all classical guitar related subjects.
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