We present the current status of the rare decay searches of
B0_(s) --> mu+ mu-, B --> mu+ mu- h, D+ --> pi++ mu+ mu- and
B0_(s) --> h+ h'- at the Tevatron Collider. We also report about the
latest results on CP Violation for B0 and B0(s) decay modes into pairs
of charmless charged hadrons (pi+ons and kaons).