In the public eye thanks to the emergence of Bernie Sanders as an unlikely counterculture political figure, Vermont is the second least populated state in the US. Rugged and mountainous, far enough north to be plenty cold in the winter, low in crime, and home to top flight universities like Dartmouth: Vermont is certainly a place of contrasts. There's lots of guns, but also comparatively high taxation sometimes blamed for an outflow of people. I have things I could say about that further, but won't - I'll spare you a discussion of a sociological/economic nature today. What you're here for is talk about amusement/theme parks.
Without many people to have density of population, there was rarely a need for street cars, and with no street cars, no trolley parks. Only two amusement places are well established in the history of the state: Barber Park opened somewhere between 1900 and 1910, and closed its doors by 1924. Little is known of the park; a "Shoot The Chutes" postcard exist, which appears to be little more than a slide on a natural hillside. Concerts and Vaudeville shows seemed to be the primary attractions. Clement's Park is noted in Robert Cartmell's original coaster tome Incredible Scream Machine as having had a Figure 8 side friction coaster, and that's about the only record that exists of the park.
It would be nearly a century after the closing of the PTC built Figure 8 that Vermont would again obtain a permanent roller coaster of some kind. Okemo Mountain was first in the region with a Mountain Coaster, opening the Timber Ripper in 2010. They'd be followed by a huge Aquatic Development Group attraction at Killington Resort in 2015. Given the popularity of the ski resorts here, it makes a whole lot of sense to replace the long existing alpine slides with a safer 4 season option, and just like everywhere else in the country, that's happening at a torrid pace.
Kiddie parks do have a place in modern Vermont: Quechee Gorge Village opened in 1985 as a regional shopping destination, and plans to add children's rides (including a used Wisdom coaster) in 2018. Santa's Land USA has had many struggles over the years: the rumor that it occupies the space once held by the defunct Clement's Park maybe has something to do with it. It was purchased and reopened after some heavy renovations in 2017. They have a short summer season, but hopefully with a smaller collection of attractions, they can hang on for a good while.
The state is also pretty low on water parks. Pump House Water Park at Jay Peak Resort is the largest water park of any kind, indoor or outdoor, in the state. at 50,000 square feet, it probably could be listed as "midsize" in the genre, having an Aqualoop and a Flowrider.