There are 2 operating parks inside Cincinnati, Coney Island and Wonderpark, but I think you mean Paramount's Kings Island, which is about 17 miles out of Cincinnati. There is another park closer to Cincinnati though, Stricker's Grove, which is about 12 miles away, but I'm assuming that you mean PKI, considering the question "do hey have any world breaking roller coasters either?"
So anyway, as for PKI, their 1st place record breakers:
Son of Beast (fastest, tallest & biggest drop woodie)
Beast (longest woodie)
And for any of their coasters in the top 10 record breakers other than 1st place:
Beast (4th longest coaster for both steel + wood and 8th fastest woodie and 8th for biggest drop on a woodie)
Son of Beast (5th longest coaster for both steel + wood and 2nd longest woodie)
Face/Off (8th tallest inverted coaster and 7th biggest drop on an inverted)
King Cobra (doesn't really matter 'cause it's in storage anyway) (8th fastest stand up coaster, 9th tallest stand up, 10th longest stand up)
Top Gun (2nd fastest suspended, 4th tallest suspended, 5th longest suspended)
Hope that all made sense!
NOTE: SON OF BEAST WAS *NOT* TAKEN DOWN!!! THE LOOP WAS REMOVED & THERE WERE SOME MINOR MODIFICATIONS, BUT IT WASN'T TAKEN DOWN!