Sorry to interrupt this wonderful nagging fest that's crowded the topic, but... Well, I'm gonna.
I'm open to a good argument that puts Anakin above Mace, though.
Well, I'll start this off rather simply:
"This is Anakin Skywalker. The most powerful Jedi of his generation. Perhaps of any generation. The fastest. The strongest. An unbeatable pilot. An unstoppable warrior. On the ground, in the air or sea or space, there is no one even close. He has not just power, not just skill, but dash: that rare, invaluable combination of boldness and grace.”
To further the point made in the above passage, I'd redirect you to Anakin's performance against Count Dooku:
The shining blue lightsaber whirled and spat and every overhand chop crashed against Dooku's defense with the unstoppable power of a meteor strike; the Sith Lord spent lavishly of his reserve of the Force merely to meet these attacks without being cut in half, and Skywalker-Skywalker was getting stronger.
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And even now, he was holding himself back; even now, as he landed at Dooku's flank and rained blows upon the Sith Lord's defenses, even as he drove Dooku backward step after step, Dooku could feel how Skywalker kept his fury banked behind walls of will.
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Dooku's decades of combat experience are irrelevant. His mastery of swordplay is useless. His vast wealth, his political influence, impeccable breeding, immaculate manners, exquisite taste-the pursuits and points of pride to which he has devoted so much of his time and attention over the long, long years of his life-are now chains hung upon his spirit, bending his neck before the ax. Even his knowledge of the Force has become a joke.
Comparatively, if anything Mace's comparisons to Dooku favor the latter:
The Count's blade was quick as a viper striking. Among the other Jedi, perhaps only Mace Windu would have been his equal on neutral ground: but here on Vjun, steeped in the dark side, his bladework was malice made visible—wickedness cut in red light.
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Master Windu himself remained perfectly balanced and centered. In the history of the Jedi Order, only two opponents ever overcame him in battle. One was Master Yoda, who some said was the Order's true master of lightsaber combat. The other was former Master Dooku, whose own fighting style was archaic, yet stunningly effective.
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Not only does he outshine Mace in their respective performances concerning Count Dooku, but he's also stronger:
"Skywalker came on, mechanically inexorable, impossibly powerful, a destroyer droid with a lightsaber."
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"Every overhand chop crashed against Dooku's defense with the unstoppable power of a meteor strike."
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"Dark power bore down with his grip. Obi-Wan felt the bones of his forearms bending, beginning to feather toward the greenstick fractures that would come before the final breaks. Oh, he thought. Oh, this is bad."
As well as faster:
"That blue blade was everywhere, flashing and whirling faster and faster until Dooku saw the room through an electric haze"
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"Skywalker leapt for him again, and this time Dooku met the boy's charge easily. They stood nearly toe-to-toe, blades flashing faster than the eye could see"
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"Anakin replied coolly, and he came on then, so suddenly, so powerfully, his green blade whirling with such speed that he seemed almost encased in green light."
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"He was in the Force, to be sure, but deep in some other zone as well, as the world unfolded in slow motion."
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Anakin's largest advantage over Mace, however, is the discrepancy of power between the two:
"This is Anakin Skywalker. The most powerful Jedi of his generation. Perhaps of any generation."
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"Not only did the boy wield tremendous reserves of Force energy, but his sheer physical power was astonishing.
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"But if it was a demonstration of Force ability Dooku wanted, then Anakin was still more than willing to provide it. "Dooku!" he howled, with such force and wrath that the ceiling of the vast hall began to collapse."
Description of the hall:
"The room was enormous by any standard, thirty meters high [90 feet] and three times that [270 feet] in circumference."
Dooku's reaction:
"If he had grown powerful enough to have collapsed the dome, the end result was simply further evidence that he would someday undo himself. Wasn't it? Because admitting to any alternative explanation meant accepting that Skywalker was potentially a greater threat to the Sith than anyone realized."
For anyone who argues that Mace would overcome Anakin by virtue of greater skill, I'd refute that it won't be enough, because Anakin is no less skilled than Mace:
"Lord Vader, your skills are unmatched by any Sith before you."
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"An unstoppable warrior. On the ground, in the air or sea or space, there is no one even close. He has not just power, not just skill, but dash: that rare, invaluable combination of boldness and grace"
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And here's just something I myself find rather impressive:
"Blue blade flashing, he cut a swath through the super battle droids, opening their burnished carapaces with diagonal slashes, cutting off blaster arms, hobbling the droids by deflecting bolts into their hermetically sealed knees. Not letting a shot get past him, so that the commandos following in his wake"
I could go on, but I think my point is pretty clear by this point. I'll provide the rest if you decide to provide a counter argument.