Does it have to be french door? There are some bottom freezer, single door fridges that would fit your space.

I have a single-door bottom freezer there now. The problem is that I have a narrow galley kitchen, so when someone opens the fridge door, no one else can walk through the room (which happens also to connect two parts of the house). A French door would be soooo nice!

I have it for about 1 year. The drawers already cracked on the track they're running on; one was already cracked/piece brokenoff when it came, so I got a new one, which I'm keeping as a spare until the drawer completely breaks.
The seal has ripped in the middle. My husband says it's a design flaw and related to opening the doors.
You can open the drawer when one door is open, but I think that may have broken the track it's hanging on. happens when you don't open the door all the way.
My freezer drawer does not stick, but there's not a whole lot of space in the freezer, and stuff is even harder to find than in a top freezer.
The icemaker is about 4" high, 11" wide, same as the similar drawer on the other side.
Overall, it looks nice, but actually offers less space than our old top freezer model. You can just open one door, but most of the time, we open both unless we get stuff from inside one door or the upper drawer. Space on the inside of the doors is also cramped.
I have the SS.

Darn. Is this the model you have? It doesn't show it as coming in SS, so I'm vaguely hoping you have a different model. The pic shows the inside.

Here is a link that might be useful: GE 22 cu. ft. FD fridge

My model is GFSS2HCYCSS. It looks very much like the model you linked to. I remember that there just weren't that many fridges that fit in my space, especially the low height was an issue.

Here is a link that might be useful: GE fridge

We have a Kenmore Elite FD CD. Ok , it is 36" so won't fit your space but the freezer drawers are plastic not mesh. One reason we liked this model was the freezer drawers were adjustable allowing for large pans...some brands have fixed dividers. We were told it is made by LG. we've had it for 18 mos...no problems... I like it a lot.

Yeah, that's the problem. The bigger/wider ones have things like freezer drawers with sides, and all have drawers you can open with only one door open. Same brands in narrower widths don't necessarily share these features.

The Sears guy told me the great majority of the units they sell are the 33" or less size to replace existing fridges, and yet most of the ones on the floor are the wide ones. Most of the narrower ones can only be bought online. Yeesh.

Ugh, I feel your pain on not being able to find things in stock, and the right size that you can actually see and touch.

When our refrigerator died a few months ago, we ended up with a Kenmore Elite FD - not a counter depth, however. It was one of the few refrigerators actually in stock (anywhere) that could be delivered relatively quickly that would fit. I went to Abt, Home Depot, HH Gregg, Lowes and so forth.

The model number is 72303.

The width is 32.875" so it may be a bit too tight for your space but wanted to throw it out there.

So far we have been pretty impressed. Fruit and vegetables keep so much better than our old trusty refrigerator that we replaced.

A few comments:
Our bins and drawers are solid - not wire.

Drawers/bins/shelves are adjustable.

The meat/cheese drawer requires you to open both doors in order to access the drawer.

This model was made by LG.

It did receive a good rating on Consumer Reports.

Good luck on your quest.

Thank you, that is very helpful. This looks similar to SIL's on the top (and I like her fridge part), but it sounds like it's got the nicer freezer drawers. Hubby is hopeful we can squeeze that in to our space. 1/16" on each side! Could at least be worth a try. It's the same height as current fridge, and 1/4" wider.

Does yours have the strip in the middle for an extra seal, or do the doors just butt up against each other (if you know what I mean)?

Mat - I was hoping the elux would fit but I think they are all 36 inches :-(
I know what you mean about the flapper in the middle - I have read a number of reviews that the gasket to gasket leaks over time, so I wanted a flapper.
When we wanted to replace our fridge - one of the few that fit was the Elux as our upper cabinets caused problems and we were able to just clear with the Elux. We left a bit of space with our remodel for future fridge size changes.

Our refrigerator has a piece (the length of the door) on the left door which "flips" and seems to serve as an extra seal. I think that is what you mean.

When only the left door is open, you can access the crisper drawer. When the right door is open it is not possible to access the other crisper drawer.

The Sears website does have a separate document which has all of the measurements - basically the required space needed for installation. Look under the yellow energy guide logo for a blurb that says "This product comes with: Specifications" click on the specifications and the pdf will come up.

Feel free to let me know if there are any other questions.