Alpine skiing on one of the most famous glaciers in Iceland. Snæfellsjökull is a perfect place to hike, if you want few people around you. Starting from Reykjavík the drive to Snæfellsnes takes about 3 hours with a few stops on the way.
Hvannadalshnjúkur is a magnificent place, this expedition takes you to the highest peak in Iceland and on the biggest glacier in Europe. Skinning up to the peak is not a technical but it requires good stamina, time is from 10-14 hours.