Medvednica Nature Park
Medvednica Nature Park to the north of Zagreb offers excellent hiking opportunities. There are several popular and well-marked routes.
Sljeme Ski Resort
There's winter skiing here, with five slopes of varying difficulty. The website provides the up-to-date status of each slope.
One of Sljeme's oldest huts, Runolist has beautiful views of the city and traditional food and drink.
The medieval fortress of Medvedgrad, just above the city on the southern side of Mt Medvednica, is Zagreb’s most important medieval monument. Built from 1249 to 1254, it was erected to protect the city from Tartar invasions. Today you can see the rebuilt thick walls and towers, a small chapel with frescoes and the Shrine of the Homeland , which pays homage to those who died for a free Croatia. On a clear day, it offers beautiful views of Zagreb and surrounds.
To get there, take bus 102 from Britanski Trg and get off at the church in Šestine; continue on foot following hiking trail #12 (from Lagvić to Medvedgrad).