Shot shells with enhanced performance due to inclusion of an absorber between the shot wad and the shot payload. The absorber reduces the pressure within a shot gun's chamber during firing of the shell, such as by absorbing energy generated during the firing process, and may thereafter return some of the energy to the pellets as the absorber and pellets are propelled along the firearm's barrel. Accordingly, the absorber enables a shot shell to generate shot payload velocities that are greater than would be achieved without the absorber, typically at a lower internal chamber pressure. In some embodiments, the absorber has (1) a Young's Modulus of less than 2,000 psi (137.9 bar), (2) a compressive strength of at least 100 psi (6.9 bar) and/or less than 10,000 psi (689.5 bar), and/or (3) a tensile strength of at least 145 psi (10 bar) and/or less than 10,000 psi (689.5 bar).