Jazzve Cafe
Very popular coffee/tea house with lots of desserts, alcoholic and non-alcoholic drinks.
The big outdoor location by the Opera also has an attractive "VIP" section (with strict "face control"), the same menu, yet more expensive.
Other locations include:
Address: 8 Moskovyan Street
Phone: 561508, 560541
Address: 32 Tumanyan Street
Phone: 545424