We study the behavior of the fusion, break-up, reaction and elastic scattering of different projectiles on ^64Zn, at near and above barrier energies. We present fusion and elastic scattering data with the tightly bound ^16O and the stable weakly bound ^6Li, ^7Li and ^9Be projectiles. The data were analyzed by coupled channel calculations. The total fusion cross sections for these systems are not affected by the break-up process at energies above the barrier. The elastic (non-capture) break-up

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... oss section is important at energies close and above the Coulomb barrier and increases the reaction cross sections. In addition we also show that the break-up process at near and sub-barrier energies is responsible for the vanishing of the usual threshold anomaly of the optical potential and give rise to a new type of anomaly.