Only a handful of mammals can regrow teeth multiple times, compared to the 50,000 species of reptiles and fish. Take geckos, for example, who will replace all 100 teeth, or so, every 3 to 4 months.
Easily beating the human race is the giant armadillo (Priodontes maximus), with up to 100 teeth. This number is highly variable between individuals and is not world-beating, but is still ...