Mica track detectors were used to detect recoil nuclei from the reactions of 12C, 16O, and 20Ne projectiles with Cu, Ag, Au, and Bi targets. The observed track-length distributions and angular distributions together with detector-threshold information indicate that the observed recoils result from complete fusion of the target and projectile nuclei. The cross section σCF for the complete fusion mechanism is found to be well below the total-reaction cross section σR at the higher projectile energies. A sharp-cutoff model is employed to extract values of Jcrit, the maximum angular momentum of the compound nuclei formed in complete-fusion reactions. Using those values, complete-fusion cross sections are calculated as a function of the mass of the complete-fusion product for reactions induced by 16O, 20Ne, and 40Ar. Assuming only first-chance fission, the ratio ΓfΓn has been calculated for the system 197Au+16O-->213Fr*.