Photo: SPEKS, CC BY-SA 3.0 via Wikimedia Commons
A modern building with an excavated fragment of the historical fortification wall system along the river. The building has the best view terraces in Riga.
The Triangular Bastion was part of the 18th-century fortifications of Riga. Its foundations are nowadays visible under a modern office building owned by Euro Live Technologies, a playtech company.
© OpenStreetMap contributors
House what was gifted to Peter I and house he visited during his travels.
Actually two museums plus a number of special exhibits, though you pay one price. English, German and Russian descriptions of each permanent collections are provided in a booklet inside each exhibit hall. Both of the main museums are quite interesting, and they provide a good idea of what Riga was like in the past.
Rīgas Doms
Dating to 1207, the cathedral is one of Riga's symbols. The 6768-pipe organ inside is particularly spectacular. Besides the organ, however, the interior is rather Spartan, and may not be worth the entrance fee (even the organ is being restored, though).
Individual and group fine art gallery.
Covers the dramatic events that occurred in the tumultuous final year of the USSR, when Soviet authorities sent troops into Riga to overthrow the elected Latvian government.