Wow, you're really jumping in with both feet, huh? That's quite a financial committment right there.
I'll tell you the same thing I tell every newbie, feel free to take my advice or disregard as you like:
Don't buy these books in single issues, buy them as collections. Firstly, these books are at #10 now, so if you jump in then you've just missed a year's worth of setup. And most of these books are working on longtime arcs rather than done-in-one issues that are satisfying to read by themselves.
So if you go the trade route, most of the books you're listing are pretty good. As mentioned upthread, I'd skip Batgirl if I were you, it's a very dull and average book by all accounts, and it really has very little to do with the fallout from Killing Joke. That stuff was handled in the Batbooks around 20 years ago, very little of which is collected these days (there were some neat stories in the mid-90s that dealt with it).
Read the first Batman trade asap, it rocks.
If you're interested in Batwoman, start with Batwoman: Elegy - it's the first Batwoman story, it's beautiful and it sets up a lot of the New52 series. Stop reading after the first volume of New52 though, the second arc has been shite.
Wonder Woman is ok, you may enjoy it but so far (as of #10) it's not really grabbing me with any intensity. It's just kinda there.
Animal Man and Swamp Thing are brilliant, and are by two of the best writers in comics right now. You honestly can not go wrong with anything by Jeff Lemire or Scott Snyder - INDIE PIX!!! -- try Snyder's Severed and Lemire's Essex County for some books that don't involve homoerotic super-wrestling.
Action Comics is ok but very patchy (and I'm the biggest Grant Morrison defender you'll ever find...). Instead, try the author's All-Star Superman. It's a definitive take on Superman, stands entirely alone and is a thing or rare beauty, both in visuals and sentiment.
Flash is OK but generic outside of the art. I hear Punisher is very good, and Greg Rucka is the fucking man, anything by him is going to be at least very competent.
If I were you I'd skip Spider-Men for now as the first issue was an utter waste of money (literally nothing happened at all). Instead, buy the first trade of the new Ultimate Spider-Man to see if you like the series. And then in about 8 months the Spider-Men trade will be out and you won't feel like you've just been screwed buying singles. In fact, if you're interested in Spidey, I advise starting waaaaaaay back at Vol 1 of Ultimate Spiderman. It's a fantastic run from start to end - the characters have real growth, you become attached to the universe, and when they kill Peter off (spoiler
) you will really feel it. USM is great since it's in a little corner of comics and stands largely alone. Spider-Men will still be there later, trust me.
I would also advise skipping Uncanny X-Men and replacing it with Uncanny X-Force. X-Men is a good B-level superhero book. X-Force is THE FUCKING SHIT. Some of the best art you'll ever see, fantastic team, a great long form story... seriously, ask anyone, this is the best X-Book out there (Wolverine and the X-Men is a VERY close second, also highly recommended).
So there you go, there's an essay for you... some people may disagree with me, but I've said it a hundred times and I'll say it forever - single issues are a mug's game. They're expensive, short and they turn you into the kind of asshole that writes essays for simple questions. Instead, go the book route - they look good on a shelf, you can lend them to friends, you get a (mostly) complete story in one sitting and you can buy them at a pace that suits your wallet rather than being locked into a supscription for a medium you may not even like that much. Just buy a couple (I suggest Batman, Batwoman Elegy and Uncanny X-Force vol 1) and see how it goes.
