Are there any amusement parks near Frankfort?

I'd say your best bet for something near Frankfort is either Canoe Kentucky or Falling Springs. Canoe Kentucky is actually in Frankfort and lets you rent canoes for the day for fun on the water. Falling Springs in in Versailles, which is a bit south, but not too far, and you can do a fair bit there, like playing baseball, swimming and more. Not really amusement parks, with rides and that sort of thing, but it's very nice and fun at both places.