  In the search for clues to the matter-antimatter puzzle, experiments with
atoms or molecules play a particular role. These systems allow measurements
with very high precision, as demonstrated by the unprecedented limits down to
$10^{-30}$ e.cm on electron EDM using molecular ions, and relative measurements
at the level of $10^{-12}$ in spectroscopy of antihydrogen atoms. Building on
these impressive measurements, new experimental directions offer potentials for
drastic improvements. We review here some of the new perspectives in those
fields and their associated prospects for new physics searches.
