Has anyone figured out how to get the outlook app to sync the calendars and contacts from outlook.com?
I've been doing the same thing as you.I gave up on it about two years ago. Synching stopped working without notice and I lost contacts when switching phones. Been using Google for contacts ever since.
See my post right above yours. You add the account as an Exchange account not an outlook.com account. (Choose option sliders for Mail, contacts, calendar if you want any of them synched to the device for use in the stock apps.)