Recently, the construction of an antimuon-electron collider, μTRISTAN, at KEK has been proposed. We argue that the construction of a similar muon ring tangential to FCC-ee and CEPC will give an opportunity to realize antimuon-electron collisions at higher center-of mass energies. Moreover, the same ring may be used later to-realize energy-frontier antimuon-proton colliders based on FCC-pp and SppC. Similarly, changing of electron ring in μTRISTAN project into proton ring will give opportunity to investigate lepton-hadron collisions at ~2 TeV center-of-mass energies. In this paper the main parameters of proposed colliders have been studied. It is shown that sufficiently high luminosities can be achieved for all proposals under consideration.