Recent rate measurements of B0(s) mesons and Lambda0(b) baryons produced in s**(1/2) = 1.96 TeV proton-antiproton and Upsilon (5S) electron-positron collisions are reviewed, including the first observation of six new decay modes: B0(s) --> D+_s K- (CDF), B0(s) --> D(s)- D+_s (CDF), B0(s) --> D-bar_s1 (2536) mu+ nu(mu) X (DZero), B0(s) --> phi gamma (Belle), Lambda0(b) --> p pi+- (CDF), and Lambda0(b) --> pK- (CDF). Also examined are branching-fraction measurements or limits for the B0(s) -> D(*)_s --> D(*)_s modes (Belle, CDF, and DZero), the B0(s) --> gamma gamma radiative penguin (Belle), and three two-body charmless B0(s) meson decay channels (CDF). Implications for the phenomenology of electroweak and QCD physics, as well as searches for physics beyond the Standard Model, are identified where applicable.