As it turns out, panoramas taken last October were just a test. Starting from June 19th, Regio is taking Street View images in Tallinn and other parts of Estonia.
There are several photos of Google cars on Delfi ( link) and Postimees ( link):
Bing maps added Bird's-eye view for Tallinn. Bird's-eye view is a name used by Bing for oblique imagery (aerial photography that is captured at approximately a 45 degree angle with the ground). It is interesting to note that Tallinn is not mentioned in Bing Maps Updates.
Bird's-eye view near Stockmann (from north, south and east) View in Bing Maps (zoom in to see Bird's-eye view)