Ultra-large cosmic scales supply a wealth of information most valuable for strengthening our knowledge of the Universe.  For instance, they can teach us about the physical processes at play during the inflationary epoch, or enable us to either further confirm or rule out Einstein’s theory of general relativity.  This is because: on the one hand, there are relativistic corrections to the Newtonian prediction that only become important on extremely large scales; and, on the other hand, those scales may hide signatures of modifications to gravity.  However, the largest cosmic scales have hitherto proven to be utterly difficult to access.  Here, I review the current endeavour on reaching such ultra-large scales with present and planned experiments, with a view on primordial non-Gaussianity as a well-known representative of a non-standard large-scale effect.