We present a unified inventory of the Casimir effect and its analogs across seven domains: electromagnetic (static, Lifshitz, and dynamic), critical (3D and 2D membrane), topological, and cosmological. The same parametrization E = C·ℰ/L^D applies without modification across laboratory plates, black hole horizons, quantum vortices, biological membranes, and cosmic strings — spanning 60 orders of magnitude in scale — with D integer, material-independent, and all physical complexity residing in the prefactor C. Systematic numerical verification across 28 independently computed systems confirms D material-independent to 10⁻⁶ precision; a catalog extended to 43+ entries is maintained in the companion repository (DOI: 10.5281/zenodo.19226963). Six continuous parameters — density of response ε(ω), scale L, temperature T, velocity v/c, geometry ∂Ω, and alterity Δε/ε — fully specify which Casimir manifestation is observed. Seven falsifiable predictions follow from the D/C partition. Companion paper: "Baryogenesis via Asymmetric Dynamical Casimir Effect" DOI 10.5281/zenodo.19381170