New SKAO (Square Kilometre Array Observatory) extragalactic science papers outline how upcoming radio continuum and H I surveys will expand understanding of galaxy evolution and active galactic nuclei (AGN) activity. The works describe reference survey strategies that build on pre-SKAO efforts while opening “new parameter space,” including approaches that combine wide-area, tiered radio observations at specific frequencies with deeper, multi-frequency imaging in selected extragalactic fields. Multi-band radio continuum data are expected to provide dust-unbiased measures of the cosmic star-formation history in star-forming galaxies and to support robust spectral energy distribution analyses across cosmic time. For AGN, the planned sensitivity and resolution are presented as enabling studies of AGN physics and duty cycles, clarification of the origin of radio emission in radio-quiet AGN, and tests of co-evolution between black holes and their host galaxies. Additional SKAO products include tracing diffuse synchrotron emission from galaxy clusters and the cosmic web, linking cosmic-ray acceleration to large-scale magnetic fields. The papers also emphasize that high-multiplex optical spectroscopy is key to obtaining precise redshifts and separating star formation from AGN through emission-line and continuum diagnostics, and that it enables statistical H I measurements via stacking and environmental studies through large-scale structure mapping.