OK, so this one will stretch most student budgets. But if you want to visit the coolest place on earth, it's got to be the Icehotel in northern Sweden. Completely rebuilt every year from fresh snow and ice with help from designers, it has beds and chairs made of iceblocks, an ice bar with glasses made from ice and even an ice church, popular with marrying couples.
This part of Sweden, within the Arctic Circle, is also one of the few places where you can witness the aurora borealis (Northern Lights), a spectacular natural light show caused by charged solar particles in the atmosphere.