Laminator_X
Once & Future KMC Hawkeye
Strange's martial arts background: Hand to hand was part of his over all mental physical and spiritual training during the years he spend in the Ancient One's monastery. He and Wong trained together daily for all those years in the Villiage (Greenwich, not Kamar-Taj) This has been stated and described many times over the years. Noteworthy examples include when Baron Mordo poisonned the Ancient One and fought Strange HtH in their Astral forms, when strange fought Dormamu HtH in the Dark Dimension, and against the magehunter Silver Dagger. Someone like Iron fist or Lady Shiva or whomever would beat Strange in HtH, but not Zatana. Occasional workouts with Batman or Black Canary do not match years of personal instruction from Shao-lin type guys.
Being something of an innate mystic, Zatana does have some magical advantages over Strange, but not many. Given that they are both extremely powerful and versitile it is difficult to draw direct power-to-power comparisons.
Such being the case, I would second longpig's assertion that we judge them by their deeds and acomplishments.
Strange's are greater. Strange has been the Universe's first line of defence against magical threats for many years, and he succeeds. He has defeated cosmic gods from beyond the Universe of their home turf many times, and even rebuked his own patrons when they attempted to take controll of him. He has fended off all challengers to his mantle of Supremacy, including one from another galaxy who had stolen most of his mystical trinkets. He is regaurded as a peer by the mightiest Sorcerors of other realities.
How does Zatana's career compare to that?
Re bios and encyclopedias: You cant codnense the totality of a subject into a few paragraphs. When you get to college don't ever site an encyclopedia entry in a research paper, your grade will suffer.
Re telepathy: Your analogy about the Hulk is false. Here is a correct one...
Saying that using the Eye of Agomotto cant exceed Xavier in some ways is like saying that someone operating a crane cant use it to lift more than Captain America can bench press because Cap is the peak of human physical potential.
Zatana once transformed the moon? Strange has a spell that would unmake the entire universe in one week.
He's not the best at everything, but Id say he's pound-for-pound the Sorceror Supreme of all comicdom.