Recent results on reflection, transmission and scattering of obliquely incident Rayleigh surface waves by an infinitely long surface-breaking crack are reviewed. Sets of crack-opening displacements for infinitely long cracks with various depths are used to construct approximate crack-opening fields for the scattering of a Rayleigh wave by a surface-breaking crack of large length-to-depth ratio. The scattered surface-wave fields for the finite-length crack are subsequently obtained by the use of a representation integral over an appropriate Green’s function and the approximate crack-opening displacements. Polar diagrams are presented for the amplitude of the scattered surface-wave field.