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Actually you already had some, in the arms and around the eyes. It almost didn't show in the arms because the colors you used are too light.
I mostly picked from your palette, trying to find values between the 2 colors to smooth. Value is more important in this respect than hue, it's surprising actually that colors with very different hue to both adjacent colors work not so bad.
When nothing existing works, make a new one, as I did for the purple I used in the hair & tail. Looks like it was there before, but it wasn't! The purple from the torso & legs actually appears blue in the hair.
It's very important at this stage to check at 100 or 200%, almost for every new pixel. This is where photoshop is helpful: you can open 2 windows of the same picture, one large to work, one small to check.
The main thing to check for is that you're not introducing unnecessary blurring: AA is all about the illusion of softening and making more flowing lines, it can easily go the wrong way.
It's a good time also to refine your lines and shading and check for banding (careless aa introduces an awful lot of it!). I changed a little the right side of the torso, the tail, and the pointed finger.
I'm far from good at this yet, and maybe you won't like the direction it's going anyway ;)
Check Panda's work, he's a master of AA (just forwarding skamocore's helpful advice to me here).
And, please make it clear whom you answer, had to think hard for a moment there! 
Oops, forgot to finish the eyes and eyebrows.
See, AA is something I'mnot really understanding. What colorwould I use, and where would it go?
You really think so? Man. The old one is awful to me.. Just bigger.
Well, okay. Huh. Maybe I should do a genuine redraw then.
C&C does not require you to be a dick, you know. Has no one told you?
Next time I'll do my best to live up to your exacting standards. Might even use anatomy.
Didn't liked it, try making it smoother and with a better AA, and also, use anatomy next time :P
But keep it up I'd say.
I like it. I'd say it's time for you to work on AA to make your sprites smoother and more lively.
The pose at first looks like she's resting the sword on her shoulder, which would be nice but would require a shoulder pad; when I noticed it's actually not resting I got a bit confused.
The pointing finger needs one or two more pixels on the left side.
i would say your "old horrible thing" is the better of the two. looking at your other pieces, i am confuzzled. they proof you can do much better.
I think it's good. There could be more blending on the tail, but other than that, it's great!