For Wonder Woman, check out WW Vol2 (1987).
I always keep this list handy:
-Zatanna's Search (1964-1967): introductory story arc where she is searching for her father.
-DC Superstars of Magic (1977): Zee and love interest are trapped in another dimension while her father is posessed by a malevolent entity.
-JLA Vol 1 161-167 (1978): Zatanna joins the League and also introduces her mother plus her tragic backstory.
She's in almost every issue once she joins but I'll try to keep it limited to pivotal stories.
179-180: A Firestorm story but it also features Zatanna and an important step towards her becoming the League's resident mahic expert.
187-190: costume change, her powers change just as shit hits the fan but she is still useful as a League member. Even becomes their chairperson.
Worlds Finest 276-277 (1982): Her full power is restored after the intial depowering.
206: Elected chairwoman of the League and leads the team on their first mission against the dreaded Demons Three.
225-227: involves Zatanna helping the League with a huge magical threat. Lots of interaction between Zee, Black Canary and Hawkgirl.
JLA Annual 01: She leads the team against Dr Destiny.
JLA Annual 02: Aquaman disbands the League with Zatanna and Elongated Man being the only main stays to stay behind to form the new JL Detroit.
233 (1984)-261 is known as the Detroit era. Its infamous among long time readers. Zatanna and Vixen become friends during this period and she is a more experienced Leaguer at this point, taking on a more mentor role among newer Leaguers.
Batman: Brave and the Bold 169: The first Batman and Zatanna team up.
-Wonder Woman 291-293 (1982): This storyline involves an extra terrestrial being testing whether earth is worthy enough to continue its existence.
-Swamp Thing Vol 1 #50 (1986): John Zatara's death. First on panel meeting with Constantine.
-Zatanna Special (1987): Covers the aftermath of Zatara's death and the return of Zatanna's old foe.
-Zatanna Come Together (1993): Zatanna's retired from heroics but has to master new powers to stop an Eldtritch Abomination.
-Zatanna Everyday Magic (2003): Depicts her everyday life as a magician.
-Seven Soldiers: Zatanna (2005) by Grant Morrison: Part of the Seven Soldiers maxi series, can be read on its own but also together as a whole. Its really trippy. Starts off with Zee having hit a low point and rebuild her image and self esteem.
-Detective Comics #833-834 (2007): Childhood friendship with Batman is established. Shows their reconciliation after the events of Identity Crisis (an infamous story arc).
-Streets of Gotham #16 (2010): Establishes the past friendship between John Zatara and Thomas Wayne.
-Brave and the Bold Vol 3 #33 (2010): Girls night out with Zatanna, Wonder Woman and Barbara Gordon with a tragic ending.
-Justice League of America Vol 2 #39-40 (2010): Blackest Night tie in where she fights a zombie version of her father.
-Zatanna ongoing (2010): At long last she got her ongoing with her own supporting cast and villains. But it was tragically short lived.
-Zatanna/Black Canary: Bloodspell (2014): By Paul Dini. Shows Zatanna and Black Canary teaming up through the years and Canary seeking out Zee to fight a supernatural threat.
-Knight Terrors: Zatanna (2023): The whole world is asleep thanks to the villains, Zatanna and Robot Man are the only ones awake and have to fight the bad guys.
Superman (2023)#16-18: Zatanna and Superman team up to help find a way to get their powers back and help heroes travel without being caught bt Waller's AMAZO bots.
Zatanna (2025) mini series by Jamal Campbell.
Some of the older stories (especially the 60's stuff) may be a little tough to get into but there are some good ideas in there. I wanted to give a sense of her character history before the Nu52 hit.
