Copenhagen Meetpacking district is a good place to go out for a beer. Duing the summer the hole place is packed with young people. There is several bars, galleries and restaurants in the area.
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.
This is one of the places in Copenhagen that I know will do the job if I need some inspiration. The museums’ collections spans from over seven centuries, from early renaissance to current art. Especially the modern collection with its paintings, installations and performance art kickstart the old imagination.
Not only is the collection great, the architecture of the museum is equally beautiful. The old part is a classic museum-building, just as you would expect, but the newer addition is connected by floor to ceiling glass, doing a great job in separating the collections (classic and modern) as it physically changes the context.