The Atacama Large Millimeter/submillemieter Array (ALMA) is now revolutionizing every aspect of astronomy. In this talk, I will show our recent works on cold ISM properties around active galactic nuclei (= AGN) near (z ~ 0; Seyfert galaxies) and far (z ~ 6; quasars). In nearby spatially resolvable Seyfert galaxies, we revealed that a 10-100 pc scale cold, dense molecular gas disk is a direct source of fuel for mass accretion onto the central supermassive black hole. The balance of nuclear mass flows therein is well reproduced by a supernova-driven turbulent accretion model. Zooming-up to the center, we have been investigating physical/dynamical structures of the so-called ¡Èmolecular torus¡É. Our investigation toward the low-luminosity AGN of NGC 1097, along with other studies toward more luminous AGN NGC 1068, suggest that a torus is not a steady but a highly dynamic and evolving structure, depending on the central AGN¡Çs power and/or a level of the circumnuclear star formation. Regarding high-redshift objects, I will introduce our on-going ALMA follow-up observations toward z >~ 6 quasars discovered by the HyperSuprime-Cam (HSC) on the Subaru telescope. These quasars are characterised by their ~a few mag lower AGN luminosity than previously known quasars at those redshifts. Based on [CII] and rest-FIR continuum measurements, we found that the HSC-quasars show LIRG (luminous infrared galaxy)-like star-forming nature, i.e., order(s) of magnitude less-active star formation than most of the other highest-z quasars. Interestingly, these HSC-quasars already exhibit a consistent M_BH vs M_host relationship with the local co-evolutionary relationship, even at z ~ 6. Significant AGN feedback might had played a role in the earliest universe to regulate the relationship.