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Spatially-resolved NMR is used to probe internal structures in highly correlated superconductors of optimally-doped Tl2Ba2CuO(6+δ)(Tc=85K) and a heavy fermion superconductor CeCoIn5 (Tc=2.3K). The characteristic change of the properties of 205 Tl-NMR in the vortex state provides a clear evidence of the antiferromagnetic order in the vortex cores below 20 K in Tl2Ba2CuO(6+δ). We also obtain anomalous 115 In-NMR spectra of CeCoIn5, which provides a microscopic evidence for the occurrence of a spatially-modulated superconducting order parameter expected in a Fulde--Ferrel--Larkin--Ovchinnkov (FFLO) state

NMR Studies on the Internal Structure of High-T c Superconductors and Other Anorganic Compounds