This article reviews recent progress in our understanding of gas-phase neut
ral reaction dynamics as made possible by improvements in the crossed molec
ular beam scattering technique for measuring reactive differential cross se
ctions. A selection of crossed-beam studies on systems that play a fundamen
tal role in our basic understanding of reaction phenomena are discussed to
illustrate the capabilities of the experimental method. The examples includ
e benchmark atom-diatom abstraction and insertion reactions, and four-atom
radical reactions for which state-to-state, state-resolved, or state-averag
ed differential cross sections have recently been measured. The results are
discussed in the light of the latest related theoretical developments rega
rding the treatment of potential energy surfaces and the dynamics of the sy
stems. Recent results on crossed-beam studies of chemically relevant reacti
ons of carbon, nitrogen, and oxygen atoms are also reviewed, and the latest
developments in the technique are noted.