Differential cross sections (DCSs) for collisions in 3He-HBr, 4He-HBr, 6He-HBr and 7He-HBr are calculated by the close-coupling approach from the anisotropic intermolecular potential of the He-HBr system established by the author. The calculations are performed separately at the collision energies of 40 and 75 meV. The influence of the incident isotope He atoms on DCSs is discussed in detail. The results show that the angular distribution of the total DCSs at zero degree increases and the position of oscillation minimum of the same order gradually shifts towards small scattering angle along with the increase of the incident isotope He atom mass at identical collision energy. And crossing angle between the elastic and total inelastic DCSs gradually decreases and the total inelastic DCS gradually increases. The rainbow phenomenon becomes more evident the lower the collision energy and the larger mass of the incident He isotope atom.