  Construction of future Muon Collider (or dedicated mu-ring) tangential to the
energy frontier pp colliders will give opportunity to realize mu-p collisions
at multi-TeV center of mass energies at a luminosity of order of $10^{33}$
cm$^{-2}$s$^{-1}$ ($10^{34}$ cm$^{-2}$s$^{-1}$). Obviously, such colliders will
essentially enlarge the physics search potential of corresponding muon and
hadron colliders for both the SM (especially for clarifying QCD basics) and BSM
phenomena. This paper is devoted to review of main parameters of mu-p colliders
proposed until now.
