As a matter of fact, people here in NL say regularly that Danish and Dutch are 2 close languages. I'm pretty sure Dutch is not considered a Scandinavian language though.
Just for the record, the weird looking "Jeg", which is very different than e.g. "Ich" (German) or "Ik" (correct me if I'm wrong, in Dutch). Jeg is pronounced something like e-I - much closer to English "I".
Jeg vil gerne have en kop kaffe = i would like a cup of coffee
That's my go to for similarity.