  Magnetic reconnection drives multi-species particle acceleration broadly in
space and astrophysics. We perform the first 3D hybrid simulations (fluid
electrons, kinetic ions) that contain sufficient scale separation to produce
nonthermal heavy-ion acceleration, with fragmented flux ropes critical for
accelerating all species. We demonstrate the acceleration of all ion species
(up to Fe) into power-law spectra with similar indices, by a common Fermi
acceleration mechanism. The upstream ion velocities influence the first Fermi
reflection for injection. The subsequent onsets of Fermi acceleration are
delayed for ions with lower charge-mass ratios (Q/M), until growing flux ropes
magnetize them. This leads to a species-dependent maximum energy/nucleon
$\propto(Q/M)^\alpha$. These findings are consistent with in-situ observations
in reconnection regions, suggesting Fermi acceleration as the dominant
multi-species ion acceleration mechanism.
