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The strongest constraints on the Yukawa-type corrections to Newton'sgravitational law and on the coupling constants of axion-like particles tonucleons, following from recently performed experiments of the Casimir physics,are presented. Specifically, the constraints obtained from measurements of thelateral and normal Casimir forces between sinusoidally corrugated surfaces, andfrom the isoelectronic experiment are considered, and the ranges of theirgreatest strength are refined. Minor modifications in the experimental setupsare proposed which allow strengthening the resultant constraints up to an orderof magnitude. The comparison with some weaker constraints derived in theCasimir regime is also made.

Recent breakthrough and outlook in constraining the non-Newtonian gravity and axion-like particles from Casimir physics