These links are just a start. Want to find art that really grabs your attention? Do some image searches.

Iran/Persia

Overview of Ancient Persian Art

Article with links to Contemporary Artists

Fatima Masumeh Shrine   &  More photos of the Shrine

Iraq

Antiquities from Iraq National Museum

Article on War and Contemporary Iraqi Artists

Hayv Kahraman

Syria

Ancient Assyrian Art

Contemporary Syrian Artists

Saudi Arabia

Contemporary Saudi Artists

Islamic Tile Work

Turkey

The Art of Marbling

Sultan Ahmed Mosque

Numerous links to art of the Ottoman Empire