You can visit the medieval villages in the surrounding area:
Saludecio (Ottocento Festival, beginning of August,
www.ottocentofestivalsaludecio.it), San Giovanni (La notte delle Streghe – The Witches Night), Santarcangelo (Santarcangelo dei Teatri, theater performances, beginning of July), Gradara (Seduzione del castello, Castle Seduction, the third weekend of July), Montefiore (Rocca di Luna, The Fortress and the Moon, end of July), Verucchio (Verucchiofestival), Mondaino (Palio del Daino).
You can also visit: the ducal palace in Urbino, the Frasassi caves, the well-known San Marino castles, Gradara, San Leo, Montegridolfo, and the fairy-tale Montebello castle in Torriana.