The only one I know of is the Scenic Railway Woodie at Luna Park Melbourne which circles the park twice. Desperado circles the Buffalo Bill Hotel/Casino and Manhattan Express circles NY NY Hotel/Casino.
Are there any large parks with a Hyper/Gigacoaster circling it on the boundary/perimeter? Surely this can be done? A Giga circling say, a large Six Flags park would be cool. It could be a terrain coaster. Does the Ultimate at Lightwater Valley park in the UK follow the park perimeter?
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Australia's No.1 Coaster Nut
I would call Villain a perimeter coaster, as well as Blue Streak, even though neither really circles their respective parks.
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Coasters...the best natural buzz available.
What about Steel Force?
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SFEG-*New For 2001* Carnival Of Chaos Batman Stunt Show. Wow.