The reaction dynamics of various odd-mass Fr isotopes is studied over a wide range of incident energies, spread across the Coulomb barrier. The specific reactions analyzed are 18 O + 197 Au and 19 F + 192,194,196,198,200 Pt, forming odd-mass 211−219 Fr * compound systems where some data are available for three of these isotopes: 213,215,217 Fr * . Based on the dynamical cluster-decay model (DCM), we have extended our calculations of the evaporation residue (ER) cross sections to the mainly fissioning 215 Fr * , using the systematics of 213,217 Fr * isotopes where the available ER cross sections (as well as fusion-fission cross sections) were studied earlier within the DCM. In order to obtain a clear picture of the dynamics involved, including entrance channel effects, the variations of fragmentation potential, preformation factor, and decay barrier height are analyzed. The relevance of barrier modification effects is also explored in the decay of 213,215,217 Fr * nuclei. In addition, fusion-fission (ff) cross sections are extended to 213,217 Fr * systems where some more data has recently become available. Also, the fission fragment anisotropies (so far measured and studied for 215 Fr * alone) are estimated for 213,217 Fr * using DCM for the use of nonsticking moment of inertia, and relevant comparison with the sticking moment-of-inertia approach is analyzed. Furthermore, the shell closure effects of the decay fragments are investigated for odd-mass 211−219 Fr * isotopes.