Marlou S.
Yelp
I'm not the biggest fan of their main exhibition, but the two times I've been to Moderna Museet myself, there's always been something REALLY cool at the temporary exhibitions. Way more than one really cool thing, even. In addition, the rooms are pretty and light (even when it's really grey and dark outside) and their museum shop is amazing. It's big, there's a great variation in sorts of art (paintings, installations, interactive art, photography) and I guess it's easy for everyone who's only a little bit into modern art, to like this museum.
If you're able to go before mid January 2016: GO, as there's quite a big Olafur Eliasson-exhibition right now, and I guess it's really hard to not like his work. I was surprised by the variation in installations and the fact it has 19 (!) of his works, some even made especially for Moderna Museet.