In this presentation I describe the range of radio astronomical surveys that are needed to address key problems in cosmology. I focus on topics not covered by other talks, primarily carried out using detailed spectroscopic and spectro-polarimetric imaging of large numbers of objects. Examples of these observations include: redshift surveys of galaxies in HI and CO for Baryon Acoustic Oscillation measurements and the mapping of large-scale structure and velocity flows, Faraday Rotation tomography of cosmic magnetic field structure and evolution, and deep high-resolution radio continuum imaging for the measurement of cosmic shear due to weak gravitational lensing distortions of galaxy shapes. These surveys characteristically produce large well-selected samples of galaxies and active galactic nuclei, suitable for detailed astrophysical studies as well as for bread-and-butter cosmology. These in turn can be fed into cosmological applications, such as the study of the formation and evolution of clusters of galaxies through cosmic time, and the use of strong gravitational lensing as a probe of dark matter halos and cosmology. We will also discuss unique opportunities presented by radio astronomy, such as the ultra-high resolution imaging and astrometric capabilities of very long baseline interferometry, allowing direct measurement of distances and motions in the local group and beyond.