We introduce four new biocompatible toxic element-free Ti-based metallic glass (MG) compositions with constant metalloid (Si10B5) and varying precious metal (PM) contents for simultaneous improvement in glass-forming ability (GFA) and corrosion properties. Being completely free from cytotoxic elements like Cu, Ni, or Be, which are indispensable for Ti-based bulk metallic glass production, limits the GFA of the studied alloys significantly. However, avoiding these elements also realizes an unprecedented corrosion resistance in simulated body fluids, which supports the potential utilization of the alloys as long-lasting dental implant material. The novel Ti60Zr15Si10B5Pd10, Ti60Zr15Si10B5Pt10, Ti60Zr15Si10B5Pd5Pt5, Ti60Zr15Si10B5Pd5Au5 alloys are obtained in ribbon form using conventional single-roller melt spinning. The effect of the PM additions on the GFA and corrosion resistance of the alloys is investigated comparatively with each other by synchrotron X-ray diffraction, differential scanning calorimetry, scanning electron microscopy, and cyclic polarization tests. Further, their Vickers hardness values are deduced using an ultra-sensitive micro indentation method, and the findings are discussed based on the composition dependence. It was found that the Ti60Zr15Si10B5Pd5Pt5 alloy presents a promising GFA while showing outstanding corrosion resistance in a simulated body fluid at 310 K.