The 5 Best Counter Depth Refrigerators
A counter depth refrigerator does not protrude from the cabinets, and thus is more aesthetically pleasing. It is also a benefit to have a shallower refrigerator in a galley kitchen or with an island design. For this post, we will focus on the non professional shallow depth products.
Have a look at an installation:

Now let's look at the 5 best shallow depth refrigerators at the moment...
Bosch counter depth B22CS30SNS $1849: I like the style, plus it is even more aggressively priced when purchased in a package.

Jenn-Air JFC2089WEM $1749: Jenn-Air was the first upscale counter depth french door on the market about 10 years ago at $2600. It is still a decent refrigerator with interior icemaker.

Samsung RF197ACRS $1299: You buy a refrigerator based on the cabinet openings. 80% of the refrigerator openings are 30 or 33 inch, yet 90% of the counter depth products are 36 inch width. I like the Samsung, because it is the only counter depth french door refrigerator at 33 inches wide.

KitchenAid KSCS23FVMS or KSCS25FVMS $2549: This is the best side by side offered by KitchenAid. The 23 cubic foot is designed for smaller heights, and the 25 cubic foot is really big for a counter depth product.

Frigidaire FGHF2344MF $2249: The year is 2011, and this is Frigidaire's first counter depth french door. It actually has decent features and is packaged aggressively with the other Frigidaire Gallery line pieces.

Have a look at some other posts over the years:
To understand the differences between integrated, pro, shallow, french, top and bottom mount refrigerators read our post about "Types of Refrigeration".