Not saying it's perfect, but I picked one of these up a week ago at Costco for $350.
Nikon Coolpix P510. Newly released in July of 2012.
I like the mid sized grip, fits my hand well, I really don't like the super thin, hard to grip, and itsy bitsy optics lens of the 1/2" thick wide lines of "pocket sized" cameras from mfr XYZ.
Nikon Coolpix P510 Review: Digital Photography Review
I'd put it between a basic point and shoot, and a full sized DSLR. Mid sized, but won't fit in a shirt or pants pocket.
Simple to operate, very straight forward.
the selling point if you shoot wild-life animals or birds, is that it has a huge zoom lens on it. 42X true optical zoom. 28mm-1000mm lens. 16 meg pixels. full HD video.
I really really wanted a Sony NEX 5, 6, or 7 for a 4:3 format and interchangeable lenses, but couldn't warrent the $1000-$1400 out the door price tag.
For $350 it's a lot of camera.
I shot these of deer in my yard from 100 feet away at full zoom, zero cropping or color photoshop from me. Just resized them to 1200x1600 pixel for web friendly viewing, raw JPG file is about 5 meg from camera at ~4500x3000 pixel.
Handheld at full zoom, full auto exposure, the focus hunts a bit and is slow or honestly doesn't focus well at full zoom, but snap a couple of handheld shots and toss the blurry ones. as I said, this was from 100 feet away.