The plain old double-edge safety razors that I (cis m) use for my face and my wife (cis f) uses for her sensitive areas etc. take exactly the same (standard) blades.
In fact, the blades only vary by non-gendered things like sharpness and cutting angle. We bought a sampler pack off Amazon for maybe $10 quite a long time ago and haven't used it up yet.
The razors themselves are slightly gendered (mine has a short black handle; hers has a longer silver handle with neat blue mid-century starbursts), but that's only because we chose them to be.