The CDF detector has accumulated a large data sample of p anti-p
collisions at s**(1/2) = 1.96 TeV at the Fermilab Tevatron.  In this report we
present the results of searches for physics beyond the Standard Model using
final states of 2 leptons or 2 photons using 190 pb-1 of data.  No
deviation from the predictions of Standard Model was observed.  The
non-observation was used to derive cross section limits on contributions to
these final states from possible new physics processes.  For many specific
new physics models, such as Z', Randall-Sundrum Graviton, Large Extra
Dimensions and SUSY, these cross section limits can be used to place strong
constraints on their parameters.