This list has just come up on ninemsn:
http://www.msn.com/en-au/news/world/cultural-treasures-lost-in-wars/ss-AA9yvam?ocid=mailsignout#image=21Those on the list I recall visiting that have been damaged or destroyed since include:
The Spiral Minaret in Samarra, Iraq
Mosul Museum, Iraq
Aleppo Souk, Syria (my favourite anywhere)
Bosra, Syria
Aleppo Mosque, Syria
The Norias of Hama
The Citadel of Aleppo
Crac de Chevaliers, Syria
Palmyra, Syria
Museum of Islamic Art, Cairo.
The list omits Hatra, which has just been reported as having been destroyed, and Nimrud, which has as well.