The Catholic Church in Estonia (a Baltic former Soviet republic, like Latvia and Lithuania) presently comprises only one Diocese, covering (only) the entire country :
There are no Eastern Catholic or other Latin prelatures.
There formally is an Apostolic Nunciature (papal diplomatic representation, embassy-level) to Estonia, but it's vested (like that to Latvia) in the Apostolic Nunciature to Lithuania in its national capital Vilnius.
There are no titular sees.
None of the following has a current direct successor in Estonia, some (at least canonically) one abroad.