We discuss the growing interest to measure associated-quarkonium production in a number of channels at the LHC. Whereas back-to-back production of quarkonium + isolated photon provides a unique way to extract gluon TMDs, observables such as quarkonium + W/Z can be of great help to better understand the quarkonium production mechanism as well as to shed light on double-parton scatterings. Along these lines, we also argue that quarkonium-pair production is a potentially rich source of information which only has started to be harvested. Finally, we discuss the relevance of studying the production of quarkonium + heavy-quark, as e.g. J/psi + charm and Upsilon + non-prompt J/psi.

6 pages, 4 figures, 1 table, LaTeX. Proceedings of the XXII. International Workshop on Deep-Inelastic Scattering and Related Subjects (DIS2014), 28 April - 2 May 2014, Warsaw, Poland