Aomori is lovely and snowy in winter! There's lots of nearby onsens, the closest I can think of is Asamushi which is a short train ride away from Aomori station.
This link has other suggestions of winter specific things to do in the area: http://www.en-aomori.com/tag/winter
We have the exact same question!
Simone, what itinerary would you put together for a week coming and going from Tokyo, based on your knowledge?
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