Claymore

Claymore Episodes 1-26
Original release by Eclipse

Download here

Description shamelessly stolen from http://www.animenewsnetwork.com/encyclopedia/anime.php?id=7028
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In a world rife with deadly creatures called "youma", a young silver eyed woman, Clare, works on behalf of an organisation that trains female youma halfbreeds into warriors with the ability to destroy these creatures. Considered a rogue for picking up a stray child & almost losing herself to her youma side by "Awakening", she is constantly assigned rather dangerous missions...

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This is your basic hack'n'slash anime. Or rather blood'n'guts.
You can also think Dragonballz with chicks and swords, er, claymores.

Has a cute chick in the lead that aquires an annoying wimp as a sidekick. Mostly they battle your monster of the week ('they' being Claire and other claymore chicks, not the useless wimp), but they pick up a storyline somewhere in the middle.

Not recommended for children due to violence, dismemberment and torture scenes (although US-residents should be fine).
There is no sex in there whatsoever by any sane standard (one monster has nipples, though) but we can always wait for the next hentai doujin, hur hur hur ...

I admit I enjoyed this anime despite everything. It doesn't have a story worth speaking of and barely any character development (apart from power-ups), but the action is nice even though they talk too much crap in the middle of the fights.
If you want intellectual stimulation then go away and watch Southpark or The Simpsons. This is anime. And I like it.

Enjoy!