Cozy coffee shops located throughout Tallinn complete with tasty baked goods and free wifi. Although this is a chain each place has a unique look and atmosphere. In my opinion some of the best cakes in Estonia are those made with kohupiim, and they go great with tea, coffee or hot chocolate. I found the ones located at Müürivahe and the corner of Viru and Vene in old town to be the most comfortable.
Favorite Dish I am not a coffee drinker so I cannot comment on the quality of the coffee, but there is a fairly large tea selection.
The last day I was in Tallinn they had a cherry and kohupiim cake that was wonderful.