Fatip

I traded some stuff for a Parker 26C open comb from a friend..... I love it!

Now Fatip Storto is Gold Metal too.
Both, Gentile (CC) and Classic (OC).

https://www.facebook.com/fatiprasoi/post...5170676621

Fatip Grande Copper

https://www.facebook.com/fatiprasoi/post...uVnGLpW6El

They're okay but if you can get your hands on a Gillette NEW, either long or short comb, give that a go.  I certainly get smoother more comfortable shaves from either of the NEWs than I do from my FaTip.  As always, YMMV.

Yup. 
My favourite vintage OC (that I've tried) is the LC New. Kinda' mild-to-moderate.

For modern OC I like the RazoRock "SLOC". Maybe just a tad milder than the LC New.

A bargain if you buy just the head, now at CAD$8.29

bohica About handles - Nearly all modern non-adjustable three-piece razors have an M5 thread, which is close enough to the #10-32(SAE) threads that Gillette used that you can mix and match old and new heads and handles between different brands. I have a Soviet-era Czech-made aluminum Soluna handle that works on any head too. I used it with a Goodwill head until I bought a brass repro handle. At worst, if the tapped hole in the handle isn't deep enough, you can always add a small flat brass washer or two.
Exceptions would be the M4.5 that Fatip uses (or so I read) and odd-ball ones like the Gillette Old Style and the Merkurs with the extra-long screws.

Beyond the thread compatibility, you'd only have to think about the relative (head vs. handle) weights and handle length to get a good balance. A big stainless steel head on a short aluminum handle just would not work for me, neither would a 110 mm stainless handle on a lighter zamak head.
It'll work, but it feels weird.

[edit - Oh, right. You got the Parker. There you go!]