While Amazing Adventures is a "Pulp Era" game there is no reason that you couldn't use it for a Modern Game. In fact it might be fun to try doing something more Silver Age.
A while back I did a Pulp/Golden Age version of Giovanni "John" Zatara for AA. So I am saying this version of Zee exists in the same universe.
This is a young Zatanna. Maybe soon after her first appearance with the Hawks, but long enough that she has some magical experience.
Arcanist (CHA) 8th level
Human* Female, Chaotic Good
AC: 14 (dex, stage outfit)
STR: 10 (0)
DEX: 16 (+2)
CON: 10 (0)
INT: 16 (+2)
WIS: 12 (0)
CHA: 19 (+4)
*Zatanna is a member of the Home Magi race. She gains a +1 to CHA and a -1 to CON.
Zatanna, as a quirk of her own style of magic, must speak all her spells backwards in order to work.
Languages: English, Italian, Latin, Greek (native language is English)
Background: Entertainer (Actor/Performer) +4,
Traits: Spellgifted (transmutation), Spellgifted (illusion)
Skill: Knowledge (Arcana)
Gear: Top hat, wand (magical focus +2), tuxedo
0: Arcane Mark, Detect Illusion, Detect Magic, Influence, Light, Mage Hand, Message, Prestidigitation
1: Change Self, Charm Person, Daze, Obscuring Mist, Silent Image
2: Alter Self, Blur, Misdirection, Pyrotechnics
3: Major Image, Suggestion
4: Mirage Arcana
A note about spells. I opted for spells that look best on a stage or in front of a group of people. So no fireballs or even a lot of damage causing spells. Also I choose spells I felt she had access too; ones in her father's library. Zee gets her own powerful collection of spells later on.