Barcelona

Day trips from Barcelona include:

Figueres
Home of the most impressive Salvador Dalí museum.
Montserrat
Visit the monastery nestled high in the mountains to see the Black Madonna or hike to the peak to earn a fantastic view of the surroundings. 30 miles from Barcelona.
Sitges
A traditional beach side destination for the locals. Full of fashion shops open on Sundays. Is a popular gay destination too.
Girona
A quiet town with an ancient Jewish section, narrow streets, imposing walls and plenty of cafes. See directions to the north airport above.
Pyrenees
A mountain range around 150 km north from the city.
Sant Cugat del Valles
Has one of the most interesting Romanesque cloisters in Catalunya, with many interesting carvings. The town itself is full of expensive vilas.
Montseny
UNESCO Biosphere Reserve 40 km northeast of Barcelona. Go there by car or bus/train