I've been re-devoting myself to classical for the last three years and there are quite a few in my regular rotation that would be great for you.
One of the best places to start is by going to Eythorsson's site (linked below) and also Delcamp (get the first three or four volumes). Delcamp's are compiled according to difficulty. Some of the pieces that have been recommended and some that I am about to recommend are not in any of the Delcamp volumes nor the popular Eythorsson compilation either but those can be found without too much difficulty at the other links provided. In addition to the baroque and classical pieces, I'll also mention some of my favorite relatively easy Brazilian pieces.
Heitor Villa-Lobos: Choros
http://www.youtube.com/watch?v=jAg8VHuXNKU (already mentioned)
Etude #1 (I play it every day)
http://www.youtube.com/watch?v=DbtRa3JFf0I http://www.youtube.com/watch?v=z0wc3Bd3ulU
J.S. Bach:
Prelude BWV 846,
Courante BWV 1002,
Minuet Anh. 132 from the Ana Magdalena Notebook (not the best version)
Zequinha de Abreu:
Amando sobre o Mar
Miguel Llobet: El Noi de la Mare (Catalan folk song)
http://youtube.com/watch?v=ZHwL6wzMskA http://youtube.com/watch?v=P4C_32CGgPo http://youtube.com/watch?v=gHFxlYiY0Nc
Francisco Tarrega: Lagrima (among many others)
my favorite version is by
David Martinez
Fernando Sor: All his studies but in particular
Etude in D op. 35 no. 17 and
Etude op. 60 no. 19
Leopold Weiss: Minuet
Kreiger: Menuett
Aguado: All the studies but particularly Egercicio 19
Carcassi: Etudes 3 & 4
Logy: Menuet in C Major, Gigue in A minor, Aria in A minor, Capriccio in A minor, Sarabande in A minor
Semenzato: Choros in A minor
Jose Luis Merlin:
Joropo
Giuliani: Allegretto op. 30
Mertz: Landler op. 9 no. 4
Morin: Petite Etude
Campion: Prelude in D minor
Signorile: Summer Souvenir
Sagreras: Maria Luisa
Brescianello: Gigue
Here are links to some sources that fill in the missing blanks of the major available volumes.
http://www.eythorsson.com/en/Music.aspx http://www.guitarpress.com/sheet.html http://www.muslib.se/ebibliotek/boije/indexeng.htm http://www.musicaviva.com/guitar/index.tpl
Have fun!
P.S. Here are some that I am currently working towards.
J.S. Bach:
BWV 995,
996,
998
Barrios:
El Ultimo Tremolo,
Julia Florida
Albeniz: Asturias
Villa-Lobos:
Prelude #1, Recuerdos de Alhambra
Roland Dyens:
Valse des Loges
Attila Zollier: The Birds and the Bees
Guimaraes (Pernambuco):
Sons de Carrillhões
Lauro:
Vals 3 (Natalia)
Jorge Morel:
Danza Brasileira
Unfortunately I have forgotten it, but perhaps you could learn another jazz ballad. They're slow and generally slow songs don't require monster technique either, just some chord knowledge. 
