Liseberg is cool.
"Liseberg is the greatest amusement park in Scandinavia. Welcome!"
http://www.liseberg.com/Liseberg/Eng...%b6jespark.htm
Liseberg is located in my hometown Göteborg which is Swedens next largest city and according to me the best city in entire Sweden. Check the link below and you can find a ton of fun stuff to do in Göteborg.
http://www.goteborg.com
When you go to Denmark just go to Copenhagen and maybe Skagen the rest is nothing special really. Copenhagen is a good party city. I love walking down stroget and with all the ppl and the small shops really great atmosphere.