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The exploration of the QCD phase diagram is the most important task ofpresent heavy ion experiments. In particular, we want to study the phasetransition from hadronic to partonic matter and look for the critical point(CP) of strongly interacting matter. Fluctuations and correlations in kinematiccharacteristics and particle yields may help to locate the CP (in analogy toenlarged fluctuations due to critical opalescence close to a CP in a liquid/gastransition). The strong interactions program of the NA61/SHINE experiment mayallow to discover or rule out the existence of the CP in the Super ProtonSynchrotron energy domain. For this purpose we perform a two-dimensional scanby varying the energy ($5.1 < \sqrt{s_{NN}} < 16.8/17.3$ GeV) and the systemsize (p+p, p+Pb, Be+Be, Ar+Sc, Xe+La, Pb+Pb) of the collisions.  In this report new NA61/SHINE results on fluctuations and correlations inp+p, Be+Be, and Ar+Sc collisions are presented. In particular, results ontransverse momentum and multiplicity fluctuations, as well as higher ordermoments of net-charge fluctuations are discussed. The NA61/SHINE data arecompared to predictions of string hadronic models and to NA49 results.

New results on fluctuations and correlations from the NA61/SHINE experiment at the CERN SPS