Copenhagen is one of the easiest European capitals to fall in love with. The sights of old buildings, cobbled streets and the tower- and turret-dotted skyline lend fairy-tale charm—this was, after all, the home of author Hans Christian Andersen. But make no mistake: This is a thoroughly modern city with international clout.

Restaurants around the world draw inspiration from the New Nordic cuisine pioneered by Noma and other Copenhagen restaurants, while Danish design from this century and the last is universally admired and coveted. Urban planners flock here to try to work out just how the city remains so livable and yet so functional, and despite its wealth of old buildings, Copenhagen’s not locked in the past; there are also thrilling examples of modern architecture.

Copenhagen is a city that’s easy to find things to do and explore on foot or by excellent public transport, where everyone speaks perfect English, the food is fresh and innovative, and there’s plenty of locally brewed beer—which, of course, is best enjoyed sitting by the water on a sunny day.