Low-energy nuclear fission, heavy-ion reactions close to theCoulomb barrier, proton-nucleus and nucleus-nucleus collisions at relativistic energies have traditionally been investigated by applying radiochemical techniques, i.e. by detecting heavy fragments produced in these reactions via their radioactive decay. This article presents a number of selected examples of studies in which various nuclear reaction mechanisms were investigated with different activation techniques. These do not always include chemical separations of the reaction product mixture even though the achievement of ultra-high sensitivity for the detection of rare reaction channels does require those. High-resolution spectroscopy of y-rays, X-rays, α-particles and spontaneous-fission decays are being used to identify individual isotopes. Cross sections are determined with respect to proton number Ζ and neutron number Ν with respect to bombarding energy, with respect to emission angle and recoil range. The examples given refer to heavy-ion fusion, the reseparation channels in case of dynamically hindered fusion, damped binary reactions and the N/Z degree of freedom, the tilting mode and the excitation energy sharing in quasi-fission reactions, quasi-elastic transfer, and, at relativistic energies, to Coulomb excitation of the 2-phonon giant dipole resonance in heavy nuclei. The experimental techniques are presented and the pertinent results are discussed.