I think today everybody can acknowledge that vinyl records are back again. Nobody buys CDs anymore, maybe some old people but records have definitely been experiencing a comeback for some time now. I have a lot of friends who own a record player and love listening to music on it and their hobby is hunting for rare, interesting or just good music on vinyl.
Tallinn does not have a lot of record stores for vinyl records. You can find some mainstream ones in a huge shopping mall but BiiT Me is much cooler and has more variety and diversity.
Situated in the very heart of Old Town, above the Foxy Vintage clothes shop (check the Foxy Vintage article), it offers a great collection of records. You can find rare singles, fascinating albums, experimental genres and classics. I really love going through boxes looking for something new and exciting.
The staff, sometimes accompanied by a pug dog Konstantin, are extremely helpful and knowledgeable. Do not be shy.