Absolutely not obvious and really well hidden location. I’ve wanted to share this spot for quite some time already, but for the last couple of years this whole area was closed for reconstruction.
Anyway, if you are ever near the Maarjamäe palace in Pirita and if you by any chance go behind the main building, there you will find pretty interesting collection of old Soviet sculptures. It’s probably the only one in Estonia (at least I can’ remember any other places), except for one lonely Lenin statue in Narva Castle.
Interesting nuance: if you want to visit any of the museum buildings or expositions you should buy a ticket, but walking in the backyard is absolutely free. But just in case — keep in mind that the whole museum grounds are closed outside of the opening hours.