look for a font called Hot Pizza, © Dennis Ludlow 2001
it even matches the /R/ (with a small curvature fix)

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I found it using Find my Font - http://www.findmyfont.com

It's definitely close, but the shape of the serifs is off. Perhaps Hot Pizza was based off the font I'm looking for?

Hot Pizza was based on the old Pizza Hut’s logo.

Try Pizza Hut by Dennis Ludlow.

I think it's (almost) the same with Hot Pizza (see bellow).
The serifs is still off and there are also many small differences regarding the initial logo image.