Tivoli Gardens, the world’s third-oldest theme park, first opened in 1843. But it continues to innovate—most notably with the Fatamorgana, a first-of-its-kind 148-ft. tower that’s actually three rides in one. The tower spins at two speeds (one for dizzying thrills, one for scenic views), and at its base are bumper cars. It’s one of several attractions Tivoli has opened in advance of its 175th anniversary. —Gabby Raymond