Bleach can kill shower mold on non-porous surfaces like tiles, glass, bathtubs, shower bases, and worktops. However, its effectiveness may vary on the surface on which the mold has grown. For mold on drywall or wood surfaces, bleach may not be as effective because the mold can penetrate beyond the surface. Professionals recommend using other methods like borax, tea tree, and vinegar for mold removal in the shower.