Reversed glenoid implants, and related kits and methods, are described that include an anchor member (104) having a proximal head (220) and a baseplate (108) having a distal end (140) with a first aperture (168) sized to accept the proximal head of the anchor member. The proximal head is inserted from the distal end into the first aperture, and the anchor member is restrained against axial translation with respect to the baseplate but is permitted to rotate with respect to the baseplate.