Views of the Danube,
Both Buda and Pest.
In 2009, I spent a long weekend in Budapest with my girlfriend at the time. We were lucky enough to use my dad's hotel loyalty points and stay in a really nice hotel with views onto the Danube and the centre of the city.
The architecture is very cool, and there is a cosmopolitan and modern vibe to much of the city. Strolling by the river is very pleasant. For some reason, we didn't end up visiting the baths that are tourist hotspots, but nevertheless we had a fun long weekend.