Using melt spinning technology, we successfully synthesized a series of Fe-rich Fe–P–C amorphous alloys exhibiting high saturation magnetization (Bs), low coercivity (Hc), and excellent bending ductility. These alloys exhibit low Hc values ranging from 4.1 to 7.2 A/m, and high Bs values ranging from 1.58 to 1.68 T. Particularly, after annealing at 588 K for 900 s, the Fe83P11C6 amorphous alloy showed extraordinary soft magnetic properties: Bs up to 1.68 T, Hc only 4.7 A/m, and the core loss at approximately 1.5 W/kg under the condition of 0.5 T and 50 Hz, all of which surpass the reported Fe–P–C ternary amorphous and nanocrystalline alloys. These Fe-rich Fe–P–C alloy ribbon samples exhibit favorable bending ductility in both the as-spun and annealed states. Their simple alloy composition, outstanding soft magnetic properties, and excellent flexibility collectively make these soft magnetic alloys highly promising candidate materials for industrial applications.