We have searched for anomalous production of missing E_T (missing
E_T), jets, leptons (e, mu, tau), b-quarks, or additional photons in events
containing two isolated, central (|eta| < 1.0) photons with E_T > 12 GeV.  The
results are consistent with standard model expectations, with the possible
exception of one event that has in addition to the two photons a central
electron, a high-E_t electromagnetic cluster, and large missing E_T.  We set
limits using two specific SUSY scenarios for production of diphoton events
with missing E_T.