Between mid-May and the end of July, you can take the cable car to the top of the mountain for stunning views all over Tromso and the midnight sun. There is even a cafe up there!
I would recommend Tromso in north Norway. Book a tour with local guide Kjetil Skogli. He's not the cheapest but is worth every penny. He takes you out in a small group (6/8 maximum) in a minibus anywhere where the weather will be clear – other companies have a fixed base somewhere near Tromso, so if it's cloudy there but clear 30 miles away then tough!
One hint to photograph the aurora: take a tripod, a fast wide lens and a camera that will let you use long exposures (10 to 30 seconds) with a remote cable to avoid camera shake.
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