The XUV photon emission following collision-induced fine-structure transitions Ne*(3P0,2)+M →Ne*(1,3P1)+M→Ne(1S)+M+hν(74 nm) has been measured for M=H2, HD, D2, O2, and H2O in a beam-cell experiment. The metastable Ne* velocity ranges from 500 to 1500 m/s. No emission was found for Ne*(3P0)+M. An appropriate detector system enables the determination of absolute 3P2→3P1 transition cross sections. The hierarchy of the cross sections measured parallels that of collision-induced 2P1/2→2P3/2 transition cross sections in Rb(5 2P) and Cs(6 2P) which have comparable fine-structure energy splittings.