The Danish New Year's Eve cake made from stacked ring-shaped layers is called kransekage.
Kransekage is a Scandinavian almond cake built from concentric rings of baked marzipan-like dough. The rings are stacked into a cone or tower and commonly held together with white icing. In Denmark, it is strongly associated with New Year's Eve and is often served with sparkling wine at midnight.
The cake's name means “wreath cake,” reflecting its ring construction. Danish versions may be decorated with flags, paper ornaments, or small fireworks-themed items, especially when prepared for a holiday celebration. The texture is typically chewy inside with a firmer baked exterior.
Kransekage belongs to the same broader Scandinavian cake family as Norwegian kransekake, but the spelling and local traditions differ. Æbleskiver, another well-known Danish food, are round pancake-like pastries and are not the stacked New Year cake. That distinction makes kransekage the specific answer for this tradition.