The recently introduced theories of Topological Quantum Chemistry and Symmetry-Based Indicators (SIs) have facilitated the discovery of novel stable topological phases of matter and largescale searches for materials with experimentally accessible topological properties at the Fermi energy (EF ). In this work, we have completed the first catalog of stable and fragile topology in all of the bands both at and away from EF in the Inorganic Crystal Structure Database (ICSD), which we have made accessible through a substantial upgrade of Topological Materials Database (https://www.topologicalquantumchemistry.com/). We have computed the electronic structure, topological class, and stable and fragile SIs of all bands in the 96,196 processable ICSD entries with stoichiometric chemical formulas in the presence and absence of spin-orbit coupling, which we have grouped into 38,298 unique materials by common chemical formulas, crystal structures [space groups (SGs)], and topology at EF . Our calculations represent the completion of the symmetry-indicated band topology of known nonmagnetic materials, and a doubling of the number of materials accessible in previous topological material catalogs. Through our calculations, we discover the existence of novel classes of topological materials, including enforced topological semimetals with energetically isolated fragile bands at EF , repeat-topological (RTopo) materials with stable topological insulating gaps at and just below EF , and supertopological (STopo) materials in which every energetically isolated set of bands above the core shell is stable topological. Our findings recontextualize several previous experimental investigations of topological materials. We find that the transition-metal chalcogenides Ta2NiSe5 in SG 15 (C/2c) and Ta2NiSe7 in SG 12 (C2/m) -respectively previously highlighted for hosting exciton-insulator and charge-density-wave phases -are 3D topological insulators (TIs) in their normal states. Additionally, we find that the higher-order TI rhombohedral bismuth in SG 166 (R 3m) and the indirect-gap TI Bi2Mg3 in SG 164 (P 3m1) are both RTopo and STopo materials. Previous ARPES investigations of Bi2Mg3 have demonstrated the presence of "surface resonance bands" below EF -in this work, we discover that the surface resonance bands are in fact RTopo Dirac-cone surface states. We present detailed statistics for our computations revealing that 52.65% of all materials are topological at EF , roughly 2/3 of bands across all materials exhibit symmetry-indicated stable topology, and that, shockingly, 87.99% of all materials contain at least one stable or fragile (crystalline) topological band in their spectrum (though potentially far from EF ). Our findings motivate the formulation of a new periodic table of chemical compounds based on the ubiquity of nontrivial electronic band topology in solid-state materials.