The XUV photon emission following collision-induced fine-structure transitions Ne*(P-3(0,2))+M --> Ne*(P-1,3(1))+M --> Ne(S-1)+M+hv(74 nm) has been measured for M=H-2, HD, D-2, O-2, and H2O in a beam-cell experiment. The metastable Ne* velocity ranges from 500 to 1500 m/s. No emission was found for Ne*(P-3(0))+M. An appropriate detector system enables the determination of absolute P-3(2) -->P-3(1) transition cross sections. The hierarchy of the cross sections measured parallels that of collision-induced P-2(1/2)-->P-2(3/2) transition cross sections in Rb(5(2)P) and Cs(6(2)P) which have comparable fine-structure energy splittings.