1. Sjleme mountain
Uniquely, a city break in Zagreb can double up as a skiing holiday. Mountain Medvednica is just a twenty minute drive from the city, and its Sjleme ski resort is never overcrowded. If skiing terrifies you even more than ice-skating, you should still take a day to walk up Sjleme. Arguably, it's at its most beautiful under a thick covering of snow - brilliantly white and magnificently silent. Eat at a cosy mountain-top tavern before catching the bus back down to town.