These cost nothing and carry a full day each. Build around them and the paid tickets become optional extras instead of a budget drain.
Town Hall Square and the House of the Blackheads
FreeTipThe ornate red-brick House of the Blackheads was flattened in 1941 and fully rebuilt by 2001, and its interior museum is open daily except Monday for a small fee, though the square-side facade is free to admire any time. Come before mid-morning to shoot Town Hall Square without the crowds, and note the Occupation Museum in the dark box behind it is free to enter.
Riga Cathedral (the Dome)
FreeTipThe Dome, begun in 1211, is the largest medieval church in the Baltics and holds one of Europe's great organs, over 6,700 pipes, with short lunchtime organ recitals most days in season, ticketed separately and worth timing your visit around. Entry to the nave is a few euros, and the surrounding Doma laukums square hosts the Christmas market in December.
St Peter's Church Tower
FreeTipA lift, not stairs, carries you up the 123-metre spire of St Peter's to a viewing gallery for the classic view over the old town's red roofs and the river, for a fee of around nine euros. It is closed on Mondays off-season, so check ahead, and go in the last hour of light for the best photographs over the spires.
Art Nouveau District and Alberta iela
FreeTipAlberta iela and neighbouring Elizabetes iela hold the richest run of Art Nouveau facades in Europe, many designed by Mikhail Eisenstein, father of the filmmaker, with their masks, sphinxes and screaming faces. It is a free outdoor walk, best in the morning light with the sun on the fronts, so bring a wide lens and look up rather than at your feet.
TipThe 42-metre Freedom Monument of 1935, topped by a copper figure holding three stars for Latvia's regions, is the emotional heart of the nation and stands on the edge of the old town by the canal. Two honour guards stand watch during the day and the changing of the guard happens on the hour, a short, quiet ceremony free to watch from the pavement.
TipThis row of three houses on Maza Pils iela is the oldest surviving cluster of dwellings in Riga, the right-hand one dating to about 1490, each showing a different era of the city's building styles. The middle house holds the Latvian Museum of Architecture, free to enter on weekdays, but the tight facade is best simply photographed from the narrow lane outside.
Bastejkalns Park and the City Canal Boat
FreeTipBastejkalns park follows the old city moat, now a leafy canal, on the seam between the old town and the boulevards, and small glass-topped boats run a roughly hour-long loop through the canal and out onto the Daugava for around fifteen euros. The park is free to stroll any time; the boats run April to October, roughly hourly, and are best in the late-afternoon light.