CP Asymmetries (& T Violation) in Known Matter - and beyond

Finding \cp~violation (\CPV ) in 1964 produced a real revolution in the fundamental dynamics, although the community did not understand it right away. The paper by Kobayashi \& Maskawa \cite{KM} appeared in 1973 to describe \CPV~in classes of three (or more) families of quarks, non-minimal Higgs' dynamics and/or charged right-handed currents. The Standard Model is defined now with three families of quarks. It can describe the measured \cp~ \& \ot~violation in kaon and $B$ mesons at least as the leading source. None has been found in baryons, charm mesons, top quarks and EDMs -- except from `hot' news from LHCb data about {\bf T}-odd moment in $\Lambda_b^0 \to p \pi^-\pi^+\pi^-$ \cite{LHCbtalk}. We have failed the explain our matter vs. anti-matter huge asymmetry. Even when there is no obvious connections with that asymmetry, it makes sense to probe \CPV~for the signs of New Dynamics \& their features. Furthermore we have to measure regional \CPV~in many-body final states with accuracy. I discuss EDMs, axion's impact on cosmology \& its connection with Dark Matter; finally I talk about \CPV~in leptonic dynamics.