At over 2000 years old, Nijmegen has had a pretty full life. Its transition from Roman military camp to modern municipality has not been without growing pains, but today Nijmegen is thriving, largely because of its lively student population and its status as a hub for political activism. Try to visit during the internationally popular Nijmeegse Vierdaagse four-day walking festival and the epic Zomerfeesten summer party. They happen at the same time, because why not?

Historic Domburg has been a destination for seaside vacationers since the mid 18th century. Wide beaches, sandy dunes and bustling boardwalks make this a popular summertime vacation spot. Renowned artists like Piet Mondrian have taken inspiration from the picturesque scenery. The beach-weary can walk or bike around De Manteling nature reserve, which opens serendipitously onto Westhove Castle.

Popular in the late 18th and early 19th century with luminaries such as Strauss, Wagner, Kafke, Freud, Twain and Edward VII, this sprightly spa town is a charming spot. Delicately painted spa houses and hotels tiptoe up the lush, forested mountainsides. One hundred mineral springs with high carbon dioxide and iron content confetti the town and nearby hillsides, many with neat colonnades and stately pavilions. The most famed is the cupola-capped and colonnade-adorned Krizovy pramen.

Nice has a cosmpolitan Riviera vibe, and you'll enjoy exploring its fashionable boutiques and restaurants and sunning yourself on its popular beaches. (Just don't expect soft sand—these beaches have pebbles.) Walk up to Castle Hill for a beautiful view of the city, the Bay of Angels and of course, the bright blue water that gave the Cote d'Azur its name.

Palma, the economic and cultural hub of Majorca, is a delightful base for exploring the island's many gold and white beaches. A former Moorish casbah, or walled city, Palma's Old Town is an appealing maze of narrow streets that are a delight to explore on foot. Hop on the Soller Railway for a 17-mile scenic trip, visit 14th-century Bellver Castle and the museum of contemporary art, and check out the nightlife.