In the Latin Quarter (F/G6 on the free City Map) you find a Red Cross shop at 2B Vestergade with good clothing for both men and women.
At Studiestrædet there are several vintage second hand shops, and in Larsbjørnstrædet 11 (G6) you find Carmen and Fantasio.
In Vestrebro (D/E 7/8 on the free City Map) there are several secondhand shops to choose from on Istedgade whether you are looking for a new jacket, china for your kitchen, or a nice chair. Start at the corner of Dannebrogsgade and walk towards Enghave Plads!
At 11 Gasværksvej there is a shop with very good children's wear and toys run by Mødrehjælpen (Mothers' Aid).
In Nørrebro you'll find good second hand shops on the side-streets around Skt. Hans Torv, such as Ravnsborggade, Elmegade, and Skt. Hans Gade (F4 on the free City Map).
In Østerbro the place to for for second hand clothing - also a bit on the luxery side - is Nordre Frihavnsgade (H2).