In current seismic design, structures are typically assumed to be fixed at the base. Separation at the base during earthquakes is thus avoided, in order to avoid the possibility instability or even overturning. In contrast to this conventional approach, the structures described in this paper subscribe to a low-damage design philosophy in which the structures are indeed allowed to move and uplift while responding to earthquake loading. Whenever there is partial separation of the structure from the supporting ground, earthquake energy induced into the structure will be temporarily cut off. Consequently, the structures experience less loading and less or even zero damage can be anticipated. This paper presents an overview of current research on innovative seismic design approaches that could be implemented in low-damage earthquake-resistant structures of the future.