  Nonlocality is one of the main characteristic features of quantum systems
involving more than one spatially separated subsystems. It is manifested
theoretically as well as experimentally through violation of some local
realistic inequality. On the other hand, classical behavior of all physical
phenomena in the macroscopic limit gives a general intuition that any physical
theory for describing microscopic phenomena should resemble classical physics
in the macroscopic regime-- the so-called macro-realism. In the 2-2-2 scenario
(two parties, each performing two measurements, each measurement with two
outcomes), contemplating all the no-signaling correlations, we characterize
which of them would exhibit classical (local-realistic) behavior in the
macroscopic limit. Interestingly, we find correlations which at single copy
level violate the Bell-Clauser-Horne-Shimony-Holt inequality by an amount less
than optimal quantum violation (i.e. the Cirel'son bound $2\sqrt{2}$), but in
the macroscopic limit gives rise to a value which is higher than $2\sqrt{2}$.
Such correlations are therefore not considered as physical. Our study thus
provides a sufficient criterion to identify some of unphysical correlations.
