The shapes of galaxies, their outer regions in particular, are important guideposts to their formation and evolution. In this work, we report on the discovery of strongly box-shaped morphologies of the otherwise well-studied elliptical and lenticular galaxies NGC720 and NGC2768 from deep imaging. The boxiness is strongly manifested in the parameter shape A(4)/a of 0:04 in both objects, and significant center shifts of the isophotes of similar to 2-4 kpc are also seen. One reason for such asymmetries commonly stated in the literature is a merger origin, although the number of such cases is still sparse, and the exact properties of the individual boxy objects are highly diverse. Indeed, for NGC2768, we identify a progenitor candidate (dubbed "Pelops") in the residual images, which appears to be a dwarf satellite that is currently merging with NGC 2768. At its absolute magnitude of M-r of -12.2 mag, the corresponding Sersic radius of 2.4 kpc is more extended than those of typical dwarf galaxies from the literature. However, systematically larger radii are known to occur in systems that are in tidal disruption. This finding is bolstered by the presence of a tentative tidal stream feature on archival GALEX data. Finally, further structures in the fascinating host galaxy include rich dust lanes and a vestigial X-shaped bulge component.