  I give an overview of recent progress in the simulation of final states
involving top-quarks and vector bosons pair. First I'll discuss the recently
found solutions needed to simulate fully differential top pair production
($pp\to b\bar{b}$ + 4 leptons) at NLO+PS accuracy, retaining off-shellness and
interference effects exactly. In the second part, I'll review the MiNLO
(Multi-scale Improved NLO) method, and then show a recent application, namely
the simultaneous NLO+PS description of $W^+W^-$ and $W^+W^- +$ 1 jet
production.
