  Superunsteerability is a particular kind of spatial quantum correlation that
can be observed in a steering scenario in the presence of limited shared
randomness. In this work, we define an experimentally measurable quantity in a
steering scenario to certify superunsteerability. In the context of
certification of randomness with this scenario, we demonstrate that such
certification of superunsteerability provides a bound on the amount of genuine
randomness generation. On the other hand, superlocality is another kind of
spatial quantum correlation that can be observed in a Bell scenario in the
presence of limited shared randomness. We identify inequalities to certify
superlocality in the Bell scenarios that can be adopted to implement $2$-to-$1$
and $3$-to-$1$ random-access codes. We observe that such certification of
superlocality acts as resource for the random-access codes in the presence of
limited shared randomness. As a by-product of our certification of
superunsteerability and superlocality, we identify a new classification of
separable states having quantumness.
