The young Georgian Artist Andro Wekua, who lives now mainly in Zürich, Switzerland has a show at Gladstone Gallery Chelsea New York. See his works at the Gallery's Website here.
David Arobelidze and Otar Arisheli show some newer and older paintings on their blogs: http://davidarobelidze.blogspot.com/ and http://arisheli.blogspot.com/
David Arobelidze: "Who is more" 1999
Otar Arisheli: "Sumer" 1998
The paintings and drawings of Murtazi Shvelidze can be found at http://artpension.blogspot.com/
Murtazi Shvelidze, 2003
The master of the so-called "Anti-soviet pop art" Otari Chkhartishvili shows works at Kaukasus-Kaleidoscope here
Otar Chkhartishvili, 1957
A set of Pop Art by Hans Heiner Buhr from Tbilisi at Flickr here.