The best things about Riga are free: walkable, cultural, historical and beautiful. The city's architecture is incredible and this characteristic ensured its place on the World Heritage List. You simply need to look up and you're spoilt with an eclectic mix of styles, from fanciful motifs found in the city's art nouveau area to ascetic wooden architecture found in surprising abundance, plus there's the medieval appearance of the Old Town with its spires, gables and the colourful buildings of the 'Three Brothers'.
Bratislava is a pretty city and friendly on the purse strings too. It's the perfect add-on to other cities like Budapest which is only a couple of hours away by train. The cost of transport to reach neighbouring cities and countries is considerably cheaper than most European destinations (yes, London, I'm looking at you especially).
From Bratislava you can hop on the train to Budapest and enjoy another affordable capital city. On first impressions, with its 19th century opulent architecture and grand buildings, Budapest looks like it's a city meant for the rich, but fortunately it can be enjoyed without damaging your bank balance. Budapest looks like something out of a fairytale, so similar to other cities on this list, the greatest thing you can do is walk around for free. Admire the city's skyline and atmosphere - cobbled streets, dimly-lit restaurants, the house of Parliament in all its Gothic glory, a romantic stroll across River Danube.
Commonly referred to as the 'City of Domes', Ukraine's capital city is a destination that certainly has the wow factor and is also very cheap to explore. As a tourist, entry to most of the main attractions cost no more than a couple of Euros - some of which I would happily have paid two or three times the amount. Kyiv's architecture is on another level, especially at Kyevo-Pecherska Lavra, St Sophia's Cathedral and St Michael's Golden-Domed Monastery. I was so blown away by its beauty that I'm itching to return again soon.
I know Berlin isn't going to be new to you but in case you needed reminding, it's a superb place for budget travellers so it deserves being in this list. Though it does appear to be getting more expensive each time I visit so now is a good time to go if you haven't been already. The last time I visited was with a bunch of girlfriends because it ticked all the boxes of what we wanted in a city-break. We wanted to go somewhere that had lots of cultural things to do during the day and had a wide range of bars and clubs to choose from at night. Berlin has all of those things in abundance without needing to splash so much cash.
Fans of all things dark and gothic will revel in Brasov, the gateway to Bran Castle, the place that inspired Bram Stoker to write Dracula. Set in the heart of Transylvania, this town has colourful houses, charming cafes and a fascinating mixture of history and local legend. Romania is one of Europe's cheapest destinations, so your money will stretch further here. Attractions don't don't cost much in Brasov so take the cable car up to the Tampa Mountain to enjoy breathtaking views over the city and plains of Transylvania!