Sliding doors, e.g., for pieces of furniture, particularly of the kind with two shutters and reduced height, having coplanar closing and opening by overlapping of the shutters. Support and translation of each shutter is provided by a respective clamp placed on the edge of the outer side, the clamp being linked to a pair of little carriages that can slide transversally with respect to the same shutter, because they are supported and guided by a respective carriage, which in turn can slide longitudinally along the edge of an opening, the respective carriage being led by a rail and control tracks, and engaged by a loose roller that constrains the respective carriage into a couple of longitudinal cams or grooves.