A Kilometer stone (circa 1925) stands directly outside Nørreport station, in Copenhagen K. It's easy to pass by, but definitely worth noting if you're in the area — The typographic work on it is incredible.
Distortion Festival is a 5 days big party, rolling through one neighbourhood each day during the first week of june. In the daytime you'll find free street parties and at night the parties continue in the night clubs with international DJ line-ups.
Especially lovely in the autumn, Frederiksberg Have is a really grand park in the middle of the district— Freckled with ponds, streams, and an old palace atop a hill in its centre.