Nearly 95% of the Greenland ice margin ends on land, where meltwater leaves the ice to supply surrounding ecosystems. Here we show that nearly 30% of this land-terminating margin ends in extremely steep, often vertical sections, previously only described in individual locations. Less than 20% are shallow ramps. Knowledge of these margin shapes and their locations allows us to further investigate what they can potentially tell us about the current ice sheet health and its future evolution.