  We review recent progress in the description of heavy-quarkonium production
in 2->2 processes at next-to-leading order in the factorization framework of
nonrelativistic quantum chromodynamics. Specifically, we consider the
production of prompt charmonium in association with a hadron jet or a prompt
photon in two-photon collisions and exclusive double-charmonium production in
e^+e^- annihilation.
