With a focus on the results of direct N-body simulations performed on GPU special-purpose hardware, the current status of
models applicable to studying open and globular cluster evolution will be reviewed. Particular attention will be paid to the role
of stellar-mass black-hole binaries in the cluster models as well as the production (or lack) of exotic binaries such as
cataclysmic variables and binary millisecond pulsars. Future steps to further enhance the modelling and our understanding of
star clusters will be discussed.