In early June we had a few short days in Copenhagen prior to our cruise. Some recommendations (and not):
1) Amass was absolutely great. I had to stop myself from gorging on their incredible fermented potato bread. I can't recommend it enough. They constantly refill your wine glass during the pairing.
2) My son and I did a 12 course tasting menu at Pluto. Too much food; the 8 might have been better. Not anywhere near Amass, but also just around half the price. Meh.
3) The street food market at paper island is excellent. I loved everything about it.
4) Not a restaurant review, but highly recommend booking a battery powered boat from friendships.dk, packing a picnic, and tooling around the canals. Super fun.