Danish Government Scholarships at the University of Copenhagen
Tuition and, depending on the faculty, a contribution to living costs (which is subject to Danish taxation)
3 scholarships. Every one links to its official page; check the current deadline there.
Danish State Scholarships at Aarhus University
A full or partial tuition fee waiver; at Arts and Aarhus BSS also a monthly grant towards living costs
University of Southern Denmark
SDU Tuition Fee Waiver Scholarships (Sønderborg MSc and Vejle BSc)
A full tuition fee waiver for two years (MSc) or three years (BSc)