“Drag someone's name through the mud”in other languages

Same idea, different pictures

English, Portuguese and Polish use mud, the dirt that stains: dragging, arrastar pela lama, or grinding someone into it, zmieszać z błotem.

French has two stronger ones. Dire pis que pendre de quelqu'un is to say worse things about someone than that they deserve hanging. Vouer aux gémonies goes back to the Gemonian stairs in ancient Rome, where the bodies of executed criminals were displayed to the crowd.