They made cameras like that when the 1 megapixel cameras came on the market.

I've got an Epson PhotoPC 700 that is big (5.5"L x 2.75"H x 2"Thick), simple controls and 2 inch LCD. It only has a 1.2 megapixel capability.

But that camera has been out of production for a long time. No one builds a large simple camera any more.

But there is one camera you might find interesting,
the Sony Mavica CD350.

It is 5.2" x 3.6" x 2.9"
With a 2.5 inch LCD

What makes it really interesting is that it writes the photos to a CD-R or CD-RW.

Take the CD out of the camera and plunk it into your computer.

There is a review of the camera at: