SlideIT Danish Pack If you use SlideIT keyboard then this will give you a Danish key layout for it. Recommend!

English<>Danish Mini Dictionar This free app is an English/Danish dictionary with over 10,000 words. All words have audio recordings! It has some great features like storing the last 50 words you looked up for easy access, hyperlinks between related words, and more.

Byki Danish This is a fun, comprehensive language learning app with photos, written words, and audio pronunciations of the words. It costs $9.99 but is worth it as you really do learn from it. It has lots of learning features like quizzes and you can share your progress to Facebook.

Danish dictionary If you have the Scandinavian keyboard, here's the Danish dictionary that goes with it (so that it will autocomplete your words in Danish, etc.).

Danish Baby Names - Beta This is a great app if you want to name your baby a Danish name. It has a lot of cool search functions like letting you choose which letters the name should start and end with and showing you what names fit.