Karst topography occurs in a number of areas of the country. Just 30 miles west of where I live (western Wisconsin) is a part of southeastern Minnesota that is karst country. You can see sinkholes all over the area. But none are huge. Many have trees growing out of them. Lots of caves as well.
The area of Missouri south and west of Rolla is another area of Karst Topo. All you need is limestone and flowing ground water. (simplified example)
Down near Gainesville, Florida there is the Devil’s Millhopper. It is, I think 120 or so feet deep and has streams of water going down the sides and an itty bitty rain forest in the bottom of it.