Walk through Northern Dvina embankment, see kilometres of water and feel strong wind in any season.
Have some drink in city caffees.
Visit one of the city festivals summer: street theatres from all Europe, winter: ice sculpture festivals
Arkhangelsk is called to be cultural capital of Russian North, so plunge into local culture: pay attention to the natural history museum and the gallery of arts, spend an evening at a classical organ concert in a music hall inside a former kirche.
Try Northern Dvina's beach in summer bathing is not recommended due to environmental reasons, but still allowed and possible.
Spend a couple of hours on a skating-rink or take a skiing day-off in winter
Get out to see severe Northern nature, rural settlements, and wooden temples.