Ah, yes. Remember when Zatanna's expertise was so well regarded that even Batman had to put aside his anger so he can get her opinion on something?
Source: Batman #639
This was around the time Jason Todd came back and Batman was looking to confirm his suspicions. He was also mad at Zatanna for wiping his memory during Identity Crisis, although they patched things up later during Dini's Detective Comics run.
(And yes, the Lazarus Pit originally could only revive the recently deceased. Its only much later on they were shown to be able to revive the long dead.)
Remember when Magog, whose personality is 'I'm such a huge arrogant asshole that I got kicked off the JSA-the same JSA that used to put up with Black Adam' and no longer having Dr Fate to consult, he went straight to Zatanna for mystical help?
Source: Magog #7
I thought starting with Batgirls #13 we were getting back to Zee being the magical go to person for any magical related problems. But given September's solicits, I guess not. If the above comics came out today, writers wouldn't be able to help but make it about you-know-who and somehow have him upstage Zatanna and show/treat her as inferior to him.
Bonus: Superman going to Zatanna for help in dealing with Arion:
Source: Superman #662
The Phantom Stranger appeared too in this story arc. He worked in concert with Superman and Zatanna. No attempted one up manship or edgelord bullshit. Or one character getting downgraded to show how much better the other is. Just folks who are good at their job showing how good they are at their job.