Since I'm here at WashU, I'll take a bite at this.
The department here is loaded with funding. There's as much research as you could want, all you have to do is ask.
I suspect they do a pretty good job taking care of their residents, because I haven't heard that many negatives throughout my 3 anesthesia rotations. The residents are incredibly easy to work with and seem happy. From speaking with residents, regional may be a bit weak with respect to all our other services. Otherwise, cardiothoracic is especially strong, with anesthesiologists running the open CT ICU. Brand new ORs. Surgeon-anesthesiologist relations are fine (some surgeons better than others).
It's hard for me to judge how far our reputation goes, because I'm here.
As for perks. . . Hmm. . . Are you talking about call schedules or moonlighting or educational funding, etc? I think they've started opening up moonlighting shifts. CA2's get to go to a conference of their choice. Call schedules are about the same as anywhere else.
WashU turns out very competent physicians. Of the residents last year, I know one went as far as Los Angeles for private practice. I believe everyone who wanted a fellowship got one.
If there's anything more specific, let me know.