Just doing a super short review to get caught up on comic reviews.
Batman Black and White #2 is a significant step down from the previous issue. It's not bad as a whole, but it is a long way from the normal pedigree of this series.
Man-Bat Out of Hell (7/10) is a well illustrated story, through the art does not really stand out from the crowd. As for the plot, it's fair, but it seems as if it's overly concerned with condoning something as really bad that everybody already acknowledges as really bad. The ending kind of comes as a slap in the face to anybody expecting this to be a Batman story featuring the normal values of Batman.
Into the Circle (9/10) is the only exceptional piece in this issue. The art is very distinct and very cool, and the story is something surprising that I've never seen done with Batman.
A Place in Between (7/10) is beautifully illustrated with an intriguing premise where Batman is trapped between life and death, but this intriguing premise barely gets time to enjoy itself before the story wraps up in the most predictable way imaginable.
Winter's End (4/10) is the only truly bad story in the bunch. The illustrations make Batman look bizarre, but that's not the problem. The issue is that the illustrations make the action incomprehensible. The story is no better with the main plot coming to a conclusion that is silly even by comic book standards. The only somewhat redeeming point is Bruce's tender memories of a moment with his father which doesn't really fit in with the rest of the issue.
Silent Knight, Unholy Night (7/10)
This is the story made up to look like an old silent film. It features drop dead gorgeous art, but the story is...stupid.
If you want a few different takes on Batman and some good art, then this will do you, but it's not a particularly good issue.