  Universality classes of Ising-like phase transitions are investigated in
series of two-dimensional synchronously updated probabilistic cellular automata
(PCAs), whose time evolution rules are either of Glauber type or of
majority-vote type, and degrees of anisotropy are varied. Although early works
showed that coupled map lattices and PCAs with synchronously updating rules
belong to a universality class distinct from the Ising class, careful
calculations reveal that synchronous Glauber PCAs should be categorized into
the Ising class, regardless of the degree of anisotropy. Majority-vote PCAs for
the system size considered yield exponents $\nu$ which are between those of the
two classes, closer to the Ising value, with slight dependence on the
anisotropy. The results indicate that the Ising critical behavior is robust
with respect to anisotropy and synchronism for those types of non-equilibrium
PCAs. There are no longer any PCAs known to belong to the non-Ising class.
