Events and places of interest in Cortona:

All year round:
MAEC Etruscan and Egyptian Museum in Palazzo Casali
http://www.cortonamaec.org

First week of June:
La Giostra dell'Archidado, in full mediaeval costume, culminates with a Mediaeval Crossbow Tournament and re-enactment of the wedding of Francesco Casali, first Lord of Cortona, to noblewoman Antonia Salimbeni of Siena, which took place in 1397.
http://www.giostraarchidado.com

July & August:
Performances of music, dancing, cinema, theater, art and literature, cuisine, wine and local products tasting throughout the city centre.
http://www.mixfestival.it

July to September
Cortona On The Move - International photography festival with shows by top travel and reportage photographers, meetings, workshops and conferences.
http://www.cortonaonthemove.com/

September
The National Antiques Fair located in Palazzo Vagnotti with certified art, paintings, antique furniture, sculptures, earthenware, silver and bronzes, prints, engravings, carpets, jewelery, tapestry, copper and marble.
http://www.cortonantiquaria.it