The second-largest city in Slovakia and the capital of eastern Slovakia, Kosice, which is 190 mi/300 km northeast of Bratislava, deserves a two-night stay. With three universities, a charming historic center, and a pedestrian zone full of cafes and shops, Kosice is one of the liveliest Slovakian towns.
Sights to see include the Vychodoslovenske Museum (gold coins dating from the 15th-18th centuries), a wax museum, the 14th-century Urban Tower, and a 687-acre/278-hectare zoo and botanical garden, the largest in Central Europe.
The Gothic St. Elizabeth Cathedral (from the 14th century), a musical fountain located near the State Theatre, and St. Michael's Chapel, which is the city's second-oldest building, are also worth seeing.
You can visit one of the largest ice caves in the world in nearby Dobsina.