Agree about the Copenhagen card!
I'm not really a "card" person but this one works very well. We had the 4-day (96hr) card and saved about $75/ea. We probably didn't go as many places as some.
Things others haven't mentioned here:
1) The attractions and transpo passes are done by QR code. What's great about that is that when you activate the card, the app downloads your codes This means that if you are not using, or do not have any kind of data plan, sim, or wifi once you have activated the card, the codes can still be used everywhere.
2) This card is really an attraction card bundled with a multi day transit pass that can be purchased separately. So if you don't care about the attractions look into the multi- day 1-99zone transit pass that covers the same area. (Another transit option if you are going to spend some time in both Skåne in Sweden and the Copenhagen zone area is that Skånetrafiken has a 48 hour tourist pass with some attraction discounts in both Denmark and Sweden. Not a lot of them, but a few. )
3) Note that you buy the card by HOURS not "days". This can be highly beneficial if you plan it right. The card will loop over into an "additional" "day" depending on when it was activated.
ex; we flew out on a Sunday at 9 am, so went to the airport at 6am. (ok, 6:30 we were a bit late, but nevermind)
We activated our 96hr card at 10am WEDNESDAY on our way to the metro.
We were able to use it all of Wednesday, Thursday, Friday, and Saturday, plus transit to the airport Sunday morning. Our card expired 10am Sunday, one hour after our flight left. Technically, a "fifth" day, but not really.