  It is provided an overview of existed results concerning classification of
contact metric, almost cosymplectic and almost Kenmotsu
$(\kappa,\mu)$-manifolds. In the case of dimension three it is described in
full details structure of contact metric or almost cosymplectic
$(\kappa,\mu)$-spaces. The second part of the paper addresses three-dimensional
paracontact metric and almost paracosymplectic $(\kappa,\mu)$-spaces. There is
obtained local classification of paracontact metric $(\kappa,\mu)$-spaces, and
almost paracosymplectic $(\kappa,\mu)$-spaces, for every possible value of
$\kappa$.
