  In this paper, we develop a method to obtain the algebraic classification of
noncommutative Jordan algebras from the classification of Jordan algebras of
the same dimension. We use this method to obtain the algebraic classification
of complex $3$-dimensional noncommutative Jordan algebras. As a byproduct, we
obtain the classification of complex $3$-dimensional Kokoris, standard, generic
Poisson, and generic Poisson--Jordan algebras; and also complex $4$-dimensional
nilpotent Kokoris and standard algebras. In addition, we consider the geometric
classification of varieties of cited algebras, that is the description of its
irreducible components.
