There is a plethora of sheet music for the classical guitar. Unfortunately, most of them are scans of the original manuscripts. Here you can download clean, accurate copies of those manuscripts.
Also, let me apologize. I just recently realized that you could not download the scores on MuseScore without a Pro account. I thought that if you have a free account you could sign in and download. This page is being fixed now to remedy that error. Stay tuned.

Jump to a composer’s sheet music:
Anonymous Sheet Music
Romanza

Bach, Johann Sabastian
Bourrée In E Minor, BWV996

Carcassi, Matteo
Op. 59, Third Part, No. 22
Matteo Carcassi Op.59 No.22 Siciliano by paulysguitarjournal | Download the PDF
Op. 60 No. 3
Carcassi Op. 60 No. 3 by paulysguitarjournal | Download the PDF
Carulli, Fredinando
Andante
Andante by paulysguitarjournal | Download the PDF
Op. 241 No. 5
Andantino, Op. 241, No. 5 by paulysguitarjournal | Download the PDF
Sor, Fernando
Op. 35 No. 1
Op.35 No. 1 by paulysguitarjournal | Download the PDF