2 of my first razors were a Gillette SS and Rocket Parat (also had a couple HD500s, Aristocrat JRs, Flare Tip Rocket, and Red Tip Rocket). Parat is one of the smoothest shavers I've ever used and better IMHO than the American SS for a few reasons (blade angle is slightly difference, blade gap, construction feels more solid, and better weight). I've traded/sold dozens of razors, but that Parat is the one I miss/regret.
Boy I agree about the Parat. It's not only one of my smoothest shavers but the razor movement is very precise and smooth, and the razor has a nice balance and solidness to it. Hands down better than Super Speed - a razor that I also love and use.