In the present article, for different chemical compositions of B2O3-Bi2O3, B2O3-Sb2O3, B2O3-WO3-La2O3, B2O3-MoO3-ZnO, and TeO2-MO (M = Mg, Ba, and Zn) glasses, by applying WinXCom program we calculated the mass attenuation coefficient (mu/p) values, and from these values, the effective atomic number (Z(eff)), electron density (N-e), mean free path (MFP), half-value layer (HVL), and exposure buildup factor (EBF) values using Geometric progression (G-P) fitting method, including macroscopic effective removal cross-section (Sigma(R)) values for fast neutrons are evaluated for their potential applications as gamma-ray and neutron radiation shielding materials. Moreover, the pip values of all the studied different glass compositions were computed using MCNPX simulation code and compared with WinXCom results. BBi65 glass has the highest mu/p, and Z(eff) values in the B2O3-Bi2O3 glasses and lower values of MFP, and EBF. The maximum values of mu/p and Z(eff) are recorded for BSb70 in the B2O3-Sb2O3 glasses. It is found that the Z(eff) for B2O3-Bi2O3 glasses is higher than those for B2O3-Sb2O3 glasses, which reveal that the B2O3-Bi2O3 glasses have better shielding properties than the B2O3-Sb2O3 glasses. The mu/p values of B2O3-WO3-La2O3 glasses are higher than those B2O3-MoO3-ZnO glasses, which indicate that B2O3- WO3-La2O3 glasses show preferable radiation shielding effectiveness comparing with B2O3-MoO3-ZnO glasses. The variation of different shielding parameters for the selected glasses was discussed according to the three photon interactions with matter (Photoelectric effect, Compton scattering, and pair production). The calculated mu/p and Z(eff) for the selected glasses have been compared with different glasses. HVL values are compared with ordinary, hematite-serpentine, ilmenite, steel-scrap and ilmenite-limonite concretes. It is found that Sigma(R) values for B2O3-Bi2O3, B2O3-Sb2O3, B2O3-WO3-La2O3, B2O3 MoO3-ZnO, and TeO2-MO (M = Mg, Ba, and Zn) glasses lie within the range 0.1312 0.2823 cm(-1), 0.0876 -0.0957 cm(-1), 0.1180-0.1085 cm(-1), 0.1066-0.1002 cm(-1), and 0.1040-0.1075 cm(-1), respectively. (C) 2018 Elsevier B.V. All rights reserved.