  Non--strongly interacting supersymmetric particles -- sleptons, charginos,
neutral\-inos, and charged Higgs bosons -- are difficult to detect at the Large
Hadron Collider. We therefore examine the possibility of producing particles of
this type in virtual $\gamma \gamma$ collisions at the LHC. Since photons can
be emitted from protons which do not break up in the radiation process, very
clean events can be generated, compensating to some extent for the small event
numbers. Higher rates are expected, at the expense of stray hadrons, for events
in which one or two protons break up.
