Barcelona Poster with the fabulous cathedral La Sagrada Familia. If you want to go museum-hopping, the Picasso Museum and La Pedrera are tough to beat. And if you just prefer to stroll the city of Barcelona, shopping in boutiques and sampling from food stalls — well, there’s all that, too, and in spades. Barcelona combines the best of a coastal Mediterranean town with the trappings of big-city Barça life to give you countless ways to spend a week. Each trip you make to the city can be different from the last.