We consider possible tests of the Einstein Equivalence Principle for p
hysical systems in which quantum-mechanical vacuum energies cannot be
neglected. Specific tests include a search for the manifestation of no
n-metric effects in Lamb-shift transitions of hydrogenic atoms and in
anomalous magnetic moments of massive leptons. We discuss how current
experiments already set bounds on the violation of the equivalence pri
nciple in this sector and how new (high-precision) measurements of the
se quantities could provide further information to this end.