Why Riga for a city break?
Riga has the finest concentration of Art Nouveau architecture in the world — around a third of all buildings in the city centre are Art Nouveau, built in the extraordinary creative burst of 1898 to 1914 when Riga was one of the largest and most prosperous cities in the Russian Empire. The elaborate facades of carved figures, floral motifs and geometric patterns on Alberta Street and Elizabetes Street are extraordinary; the Riga Art Nouveau Museum inside a preserved apartment is one of the most distinctive museum experiences in the Baltic states. The medieval old town alongside is a UNESCO World Heritage Site of Gothic churches and merchant guild houses.
From London it's three hours — direct flights from Heathrow, Gatwick and several regional airports. Riga International Airport is 10km from the centre (bus €1.50, 30 minutes). The city is excellent value: a good dinner costs under £15, craft beer is £2, and most of the best things to do are free or very cheap. Go in May to September for the best weather and the outdoor café culture along the Daugava river; December brings one of the finest Christmas markets in the Baltics to the old town square, with open fires and mulled Latvian wine.