This study introduces a hybrid tsunami risk method that fuses probabilistic hazard assessment with ray tracing to enable rapid global mapping. Using historical tsunamigenic earthquake statistics, it identifies how bathymetry focuses wave energy into convergence hotspots. Validated with the 2025 M8.8 Kamchatka and 2011 M9.0 Tohoku events, high-fidelity Boussinesq outputs showed strong observational skill, offering a robust basis for quick hazard evaluation and coastal resilience planning.