New hydrazone o-HO-phenylhydrazo-beta-diketones (OHADB), (RNHN)-N-1=(CRR3)-R-2 [R-1 = HO-2-C6H4, R-2 = R-3 = COMe (H2L1, 1), (RR3)-R-2 = COCH2C(Me)(2)(CHCO)-C-2 (H2L2, 2), R-2 = COMe, R-3 = COOEt (H2L4, 4); R-1 = HO-2-O2N-4-C6H3, (RR3)-R-2 = COCH2C(Me)(2)CH2CO (H2L3, 3), R-2 = COMe, R-3 = COOEt (H2L5, 5), (RR3)-R-2 = COMe (H2L6, 6A)], and their Cu(II) complexes [Cu-2(CH3OH)(2)(mu-L-1)(2)] 7, [Cu-2(H2O)(2)(mu-L-2)(2)] 8, [Cu(H2O)(L-3)] 9, [Cu-2(mu-L-4)(2)](n) 10, [Cu(H2O)(L-5)] 11, [Cu-2(H2O)(2)(mu-L-6)(2)] 12A and [Cu(H2O)(2)(L-6)] 12B were synthesized and fully characterized, namely, by X-ray analysis (4, 5, 7-12B). Reaction of 6A, Cu(NO3)(2) and ethylenediamine (en) leads, via Schiff-base condensation, to [Cu-{H2NCH2CH2N=C(Me)C(COMe)=NNC6H3-2-O-4-NO2}] (13), and reactions of 12A and 12B with en give the Schiff-base polymer [Cu{H2NCH2CH2N=C(Me)C(COMe)=NNC6H3-2-O-4-NO2}](n) 14. The dependence of the OHADB tautomeric equilibria on temperature, electronic properties of functional groups, and solvent polarity was studied. The OHADB from unsymmetrical beta-diketones exist in solution as a mixture of enol-azo and hydrazo tautomeric forms, while in the solid state all the free and coordinated OHADB crystallize in the hydrazo form. The relative stabilities of various tautomers were studied by density functional theory (DFT). 7-14 show catalytic activities for peroxidative oxidation (in MeCN/H2O) of cyclohexane to cyclohexanol and cyclohexanone, for selective aerobic oxidation of benzyl alcohols to benzaldehydes in aq. solution, mediated by TEMPO radical, under mild conditions and for the MW-assisted solvent-free synthesis of ketones from secondary alcohols with tert-butylhydroperoxide as oxidant.