The second is Devil's Moon.
Part early Bleach, before it became superpowered samurai showdown, part Yu Yu Hakusho, before Togashi got lazy with his writing.
Hilda can see ghosts, and enjoys stomping on the irritating little shits. Then one night, the moon starts looking all funny and her co-worker is about to be killed by a particularly strong ghost. Hilda saves the girl, but ends up getting herself killed in the process. When she wakes up, Satan is telling her what the deal is and that he wants her to start catching ghosts so that the gates of hell don't burst wide open.
Nice art that's coming along nicely, still very early in it's story, has it's own site, and the author is a shameless pervert. Updates slightly more often than my last recommendation, but not as often as the author is aiming for.
I've been promised that it'll get very lewd, but it's not there yet.