Oh, no, no, no, please don't do this to me, ZUN.
This.
I mean, seriously, Reiuzi?
Reiuzi -> Rei-uzi -> UZI.
Also: Huziwara no Mokou, Momizi, and other differences such as Kotiya, Syameimaru, etc.
I don't have a problem with most of this. It's just that English speakers are all used to the Hepburn Romanization (ji, fu, chi, shi, sha) rather then Nihon-Shiki (zi, hu, ti, si, sya).
But in the case of Zi, well, I have a hard time saying that in Japanese (use of Korean pronunciations for the language - going by above example, ji, hu, chi or ti, si, sya), so this gets rather annoying.