The CDF detector has accumulated a large data sample of pp collisions at √s =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 to 448 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.