  We present an overview of the HALOGAS (Hydrogen Accretion in LOcal GAlaxieS)
Survey, which is the deepest systematic investigation of cold gas accretion in
nearby spiral galaxies to date. Using the deep HI data that form the core of
the survey, we are able to detect neutral hydrogen down to a typical column
density limit of about 10$^{19}$ cm$^{-2}$ and thereby characterize the low
surface brightness extra-planar and anomalous-velocity neutral gas in nearby
galaxies with excellent spatial and velocity resolution. Through comparison
with sophisticated kinematic modeling, our 3D HALOGAS data also allow us to
investigate the disk structure and dynamics in unprecedented detail for a
sample of this size. Key scientific results from HALOGAS include new insight
into the connection between the star formation properties of galaxies and their
extended gaseous media, while the developing HALOGAS catalogue of cold gas
clouds and streams provides important insight into the accretion history of
nearby spirals. We conclude by motivating some of the unresolved questions to
be addressed using forthcoming 3D surveys with the modern generation of radio
telescopes.
