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.

The whimsical sculptures, mosaics and all manner of street art creations by artist José Fuster in Jaimanitas make for an entertaining excursion from Havana proper. The artist's own home is the centerpiece, decorated in his characteristically surreal style from top to bottom. The so-called "Fusterlandia" is now about two decades in the making, and continues to grow to-date.

Built between 527 and 565 AD at the foot of Mount Sinai for Emperor Justinian, this monastery later took its name from St Catherine of Alexandria, whose remains are said to rest here. It’s more fortress than church, with thick stone walls guarding the Church of the Transfiguration, the chapel of the Burning Bush, and a monks-only library packed with ancient manuscripts. Inside, you’ll find mosaics, religious ornaments, and some of the oldest illuminated manuscripts in the world on display. Outside, don’t miss Moses’ Well and the garden with centuries of history. The place is open most mornings but closed on Fridays, Sundays, and Orthodox feast days. Still active today, the monastery holds importance across Christianity, Judaism, and Islam, and continues its Greek Orthodox traditions uninterrupted.