Anything come to mind besides [name]Zachary[/name]? Need the name to contain Z somewhere, but doesn’t have to start with it.
Zane
Zechariah
Zander
Zephyr
Zenon
Cruz
Enzo
Alonzo
Lorenzo
Azar
Mckenzie
Boaz
Cezar
Chaz
Ezra
Fritz
Fitz/Fitzgerald/Fitzhugh…
Franz
Lazaro/Lazarus
Paz
[name]Ezra[/name] and [name]Boaz[/name] are both favorites of mine! They’re fantastic.
I’m sure there are more that haven’t been mentioned yet, but the ones that are coming to mind for me right now are …
[name]Zephaniah[/name] / Zephan
[name]Zebedee[/name]
[name]Zacchaeus[/name]
[name]Zared[/name] (Why do I never see this name around? I think it’s awesome. I actually only even know about it because I found it in a baby name book when I was looking for a name for the duck that kept coming to our backyard when I was a kid, and I just remembered it now when I was trying to think of Z names.)
[name]Ezio[/name]
[name]Zane[/name], [name]Ezekiel[/name], and [name]Ezra[/name] were my first ideas. I think you could also use [name]Zachariah[/name] or [name]Zacharias[/name]–much more interesting, imo. Unless you already have a [name]Zachary[/name] and that’s why you’re trying to avoid it. 
The only other thing I can think of is [name]Jabez[/name] ([name]JAY[/name]-bez), which I wouldn’t exactly suggest using… Several years ago there was a fairly big move to pray “[name]Jabez[/name]'s prayer”–which was a nice prayer, and it’s a nice idea, but it was like a fad for Evangelical Christians, lol, so I don’t know that I would want my son’s name associated to that. Besides, [name]Jabez[/name] is a bit weird, haha.
Good luck!
[name]Baz[/name] and [name]Frazier[/name] I don’t think have been mentioned yet.
[name]Zev[/name]
[name]Hezekiah[/name]
[name]Zino[/name] or [name]Zeno[/name]
[name]Zeus[/name]
[name]Zebulon[/name]
Zebulah =)