  We present a range of physics results for central exclusive production
processes at the LHC, using the new SuperChic 2 Monte Carlo event generator.
This includes significant theoretical improvements and updates, most
importantly a fully differential treatment of the soft survival factor, as well
as a greater number of generated processes. We provide an overview of the
latest theoretical framework, and consider in detail a selection of final
states, namely exclusive 2 and 3 jets, photoproduced vector mesons, two-photon
initiated muon and $W$ boson pairs and heavy $\chi_{c,b}$ quarkonia.
