Marco Fiori of Macgasm confirms Theme Park for iOS:

Yes, taking its inspiration from the 1994 Bullfrog title (back before EA destroyed the studio), Theme Park is a 3D iOS title with free-to-play elements. It’ll have various themes, ranging from Pirate, Organic (your guess is as good as mine), and Futuristic. Expect plenty of gravity bending rides and people puking all over the park’s paths.

They have a screenshot on the website as well, but I am somewhat disappointed it’s a 3D reboot rather than a more direct clone. There is still no price either, but I am not as excited as I once was.