Spotify is a wonderful place to discover new music, as well as create public playlists to share some of your favorite compositions with others.
Although not all of my personal favorite classical guitar albums are on Spotify, they still have an excellent selection to choose from.

I created the Best Classical Guitar Playlist to highlight some of my favorite pieces, and included diverse pieces by Issac Albéniz, J.S. Bach, Mauro Giuliani, Enrique Granados, Agustín Barrios Mangoré, José Luis Merlin, Manuel Ponce, Francisco Tárrega, Heitor Villa-Lobos, Andrew York, and more.
Here’s a link to the Best Classical Guitar Playlist on Spotify: