There are at least 2 themes in georgian society that almost nobody wants to discuss and make opinion on them publicly: religion and sex. Websites that i found are directly connected to both of these themes.
1. www.religion.ge often criticizes official georgian orthodox church and takes tolerant position to other religious denominations in Georgia.
2. www.inclusive-foundation.org this website focuses on sexual minorities in Georgia and advocates their rights.
3. www.psycho-log.blogspot.com is only in English and one might think, that it's not georgian website, but counters that are on this site makes me suggest, that this site is for small, but still for georgian audience.
If you know other websites please write them in comments.