There are a handful of universities in Georgia which offer degrees or exchange programs taught in English:
University of Georgia (http://www.guss.edu.ge/en/)
Grigol Robakidze University (http://www.gruni.edu.ge/h...)
International Black Sea University English exclusively (http://www.ibsu.edu.ge/)
Caucasus University (http://www.cu.edu.ge/?l=1)
Georgian American University English exclusively (http://gau.ge/index.php?o...)
European School of Management-Tbilisi (http://esm-tbilisi.ge/)
Kutaisi University of Law and Economics (http://www.kseu.edu.ge/)
Intensive Georgian Language Workshop for Beginners, American Councils (http://www.americancounci...)
and a few others...