Two Ni- and Cu-free bulk metallic glasses (BMGs) of Zr₆₅Pd_17.5Fe₁₀Al_7.5 and Zr₆₅Pd_12.5Ag₅Fe₁₀Al_7.5, with a critical casting diameter of 6 mm and a compressive strength above 1500 MPa, were developed. While the Zr₆₅Pd_17.5Fe₁₀Al_7.5 alloy showed little plastic strain before fracture, the Zr₆₅Pd_12.5Ag₅Fe₁₀Al_7.5 alloy exhibited much larger plasticity by the relatively stable, intermittent propagation of the major shear band under compression. This unusual plastic deformation behavior was interpreted on the basis of the contribution of the icosahedral short-range order. Potentiodynamic polarization tests revealed that the Zr₆₅Pd_12.5Ag₅Fe₁₀Al_7.5 alloy has a higher corrosion resistance than the Zr₆₅Pd_17.5Fe₁₀Al_7.5 alloy in phosphate buffered saline at 37°C. X-ray photoelectron spectroscopy analysis revealed that the passive film of Zr₆₅Pd_12.5Ag₅Fe₁₀Al_7.5 alloy consisted mostly of ZrO₂, which may be responsible for the excellent corrosion resistance of this alloy. Ni- and Cu-free BMGs with a critical diameter of 6 mm, together with enhanced mechanical properties and corrosion resistance, may be promising in biomedical applications.