Over the last few years, the existence of mutual feedback effects between accreting supermassive black holes powering AGN and star formation in their host galaxies has become evident. As a consequence, the search for, and the characterization of the evolutive and physical properties of (obscured) AGN over a large redshift interval is a key topic of present research in the field of observational cosmology. Significant advances have been obtained in the last ten years thanks to the sizable number of XMM-Newton and Chandra surveys, complemented by multi-wavelength follow-up programs. After a brief review on how and why X-ray surveys are critical in studying and characterizing AGN, I will focus on the most recent results on AGN-galaxy co-evolution and in particular on observed AGN and galaxy properties. I will also present the science cases for observations at longer wavelengths and show how these new data may be useful to discriminate among different models of AGN triggering towards a better understanding of the co-eval AGN-galaxy growth.