Dolmabahçe Palace is a white stone behemoth located in the Beşiktaş district and overlooks the Bosphorus. It used to serve as the main administrative centre of the Ottoman Empire from 1856 to 1887 and from 1909 to 1922. Some visitors compare it with Versailles and Hermitage.

Zubizuri, meaning 'white bridge' in Basque, is a steel-and-glass footbridge over the Nervión River, designed by Santiago Calatrava and opened in 1997. It links Campo Volantín on one side to Uribitarte on the other. The deck was originally made of translucent glass bricks, but they became dangerously slippery when wet, so now there’s a non-slip covering over much of the walking surface. From the middle of the bridge, you get a good view of the river and the Guggenheim, especially at sunrise or when the lights come on at night.

Just outside Bilbao, in Biscay, the Vizcaya Bridge (Puente Bizkaia) — also called Puente Colgante or the Hanging Bridge — is the world’s oldest transporter bridge, completed in 1893. It connects Portugalete and Las Arenas (Getxo) across the Nervión River and was declared a UNESCO World Heritage Site in 2006. You can cross either by the gondola, which carries vehicles and passengers in about 90 seconds, or on the pedestrian walkway, accessed via lifts in the towers. The bridge stands 45 m high and 160 m long, and its iron-and-steel design was a milestone of industrial-age engineering.

If you want a break from the city’s streets, the Boboli Gardens offer plenty of green space along with a good dose of history. Spread out behind the Pitti Palace, the gardens are filled with sculptures from the 16th to 18th centuries—and a few pieces dating back to Roman times. While you’re there, don’t miss the Porta Romana nearby, an old city gate with its own story.