Noma
If you manage to find a booking, this is by far the best restaurant experience you'll ever have.
Manfreds & Vins
Noma ex sous-chef restaurant, amazing 7 course menu, very affordable, very cozy place. You can also go for lunch on Sunday as it's one of the few good places that open.
Amass Restaurant
run by Noma's ex sous-chef. They have an amazing 5 course menu. Try to go around sunset, they have an outdoor garden with bonfire and views of Copenhagen. To remember: madeleines with butter that melts on it & frozen cherry and fennel
Bror
Also run by Noma's ex sous-chef. Very cozy restaurant with delicious Nordic food.
Aamans Smorrebrod:
open faced sandwiches, go for lunch or afternoon snack Be careful, they don't serve sandwiches after 4pm although they open until 8pm.
Torvehallerne food market
MUST. Go in the morning for coffee and danish pastries or for lunch
Raw 42
Vegan place, EVERYTHING with avocado smile emoticon Go for an afternoon salad or avocado sandwich
Pate Pate
Old bosch store turned into a restaurant. Works for lunch and dinner.
Big Apple
Cute coffee shop with the trees inside, next to wake up hotel (walking distance). They have The Coffee Collective coffee and very good Cinnamon Rolls
Sweet Treat
If you go to Christiania, pass by there and have a goat cheese with crumbled cranberry and pesto open faced sandwich + coffee