Copenhagen University Observatory, Denmark

Nyhavn is a great place watch ships and people renovating them or having a dinner on the ship's deck (if it's sunny!). There are many restaurants for the hungry but just strolling around and having a pölser is my choice.

IT University of Copenhagen is a must see if you are interested in architecture and IT..

User attached a link to itu.dk

Outstandingly delicious pizza at fair prices, in a very Italian style setting. Lots of locals seem to visit here frequently. Note that you can not eat in in the nighttime.

Be sure to visit Christiania and the Zoo, you'll see different kinds of animals in both places ;)

Absolutely fantastic bagels, good coffee and organic juice in a part of town where it's nearly impossible to find anything non-sweet for breakfast. Recommend!

Crappy but inexpensive hotel. Small rooms resemble C-class cabins on a passenger ferry but can house 4 in their three-storey layout.
Recommend if you're more into sleeping than atmosphere; not a choice for honeymoon;)

Artists Jeppe Hein and his sister Lærke Hein have created an ultra-cool bar/restaurant which turns into a club on weekends nights. I totally 100% recommend for cool-hunters, artsy types and lovers of French cuisine.
Check the website and make sure to reserve a table, since the place is very popular: http://karrierebar.com/

Fun & relatively large club in two floors. They have good bands playing in the lower floor and a relaxed, yet quite drunken bar-thing on the top. When I visited the place for the first time they had a couple girls who would cut your hair(!) for free(!) on the dance floor. Weird experience having a beer (with hair) & your hair cut while being surrounded by a big dancing crowd.
It usually costs to get in and the lines can get pretty long.
veganaktclub.dk

Not only historically interesting, but you can also find a lot of nice spots to sit in the sun and get inspired by the centuries of history that are surrounding you. Next time, I'd like to have a little picnic here.

A beautiful palace surrounded by a great park. Definitely worth seeing and the park invites to hang out for a while on a beautiful day.

Karriere Bar website

User attached a link to karrierebar.com

They have excellent ice cream cones in Copenhagen. Just have one and head to Tivoli to see what's on tonight. The Tivoli Gardens is a relaxed amusement park with a lots of people just strolling around peacefully. Great place.

A very nice zoo with well fed and happy animals.
Also worth to see in winter time.
Bonus points for the extra good souvenier shop.

I understand that Jussi hates the Tivoli garden, but at the same time it can also be a nice place to hang out. Avoid beeing there around mid-day, and of course in July...

Nice park

Want to spend a night and evening in a royal way, in an authentic atmosphere? You can make it here!

It's just a little bronze statue with far too many tourists standing in each other picture, but still I think this is a must-see. It's just so famous you get this "been there" feeling when sitting next to it. Actually, as soon as you get 25 meters away, you can sit by the sea very relaxed and watch the masses.

Not too cheap but has a wifi. Americans would call the rooms small.

Very small and uncomfortable rooms with no proper closets. Some ethnic decoration does not do much when you have to sleep like in a bunk bed. Flat screen tv's though... Where did this hotel get 4 stars???
I have marked it to a wrong place on the map, it should be near the Central Railway Station and Tivoli.

User attached a link to hotelguldsmeden.com

Part of trip "Interrail 2003"

For opening times, prices, menus and of course checking the current sea temperature

User attached a link to kallbadhus.se

Great clean rooms, and modern decor, good breakfast, quite silent clientele. The location on "red lamps district" was quite ok, no troubles due to that.