I don't have an A57, but I can weigh in on the A37 side. I went with the A37 because I wanted a smaller/lighter package and a built-in flash, and it costs about $200 less than the A57.
On the down side, it has a lower-resolution LCD screen that flips but doesn't rotate, 30fps movies instead of 60fps, and 5.5-7 fps shooting instead of 8-10 or so.
Image quality, low-light performance, lens selection, AF speed, etc. are all identical.
I could live with the negatives (I use the EVF for shooting and my computer for reviewing photos, not the LCD screen; I prefer 30fps movies that look identical and take half the space; and 5.5fps is plenty fast for almost any application). And I wanted the smaller size and built-in flash. And of course the price savings.
One note on size: the A37 has a redesigned, deeper grip than the A33/A35/A55, and it's supposed to be more comfortable. I haven't used those other cameras, but I find the A37 comfortable to use.
I do think the 18-135mm lens for an extra $100 over the 18-55mm is a good deal. $600 for a solid multi-purpose lens and the same sensor, processor, and image quality of cameras costing 2x or 3x as much seems like a good deal to me.
Of course, I'm just starting out and everyone has different needs, but I'm glad I got the A37 over the A57. I hope that helps...