My wife and I do too.
My wife’s grandmother unloaded a bunch of furniture on us when she moved into a smaller place in the mid-1990s, and one of the items was a chest freezer, maybe 4.5 feet long, give or take. When that one died a decade ago, we immediately got another, of roughly the same size. Not sure how people manage without one.
Side by side in the kitchen
Side by side in the garage
Upright freezer in the basement
Big. Two freezer drawers (not doors) on the bottom.
The kind that when it runs, I don’t have to chase it. 
I’ve listed “2 doors, bottom freezer”, but it’s actually “1 door and two bottom freezer drawers. all controlled independently”. I spend more time away from home than there, so the independent controls were a must.
French doors with bottom drawer freezer. We also have a chest freezer in the garage.
I think what you call side-by-side (or possibly French Door) is what is called American Style in Britain. What I have now in Britain, and I think is most typical, is quite narrow and relatively tall, with a freezer (with drawers) below, and fridge on top, both with sideways opening doors. Many people have to have narrow ones to fit in the spaces in kitchens built before fridge freezers, or even fridges, existed. I also have a separate one that is a fridge only. (both are quite small).
At one time, when in the USA, I had a top freezer with a door that opened upwards.
We have a side-by-side with ice and water through the door. (Our new dog loves that feature and sits below it every time we get ice, waiting for it to spit out a chunk for her.) It has a pizza-sized slot on top next to the ice maker that will hold 5 Jack’s pizzas. We also have a chest freezer in the pantry.
I have a top-freezer refrigerator in the kitchen, plus a refrigerator-size freezer in the basement.
Hmm. Those are about the poll results I expected, but I remain baffled by the popularity of side-by-sides. I just don’t get the appeal.
Top freezer two door with ice in the freezer. Our freezer is pretty much for things like ice and ice cream. Everything else goes in the chest freezer.
My reasons are both emotional and practical. I alluded to the practical part up thread - my fridge is in a corner. If I go with a top/bottom door design, I either can’t open the doors all the way because they hit a wall, or I have to open them into the rest of the kitchen, so they create a barrier to the counters I need to work on.
The French door fridge on top allows me to open one side the whole way when needed, and the other side most of the way. Since the doors are shorter (they only go half the way across the fridge), they aren’t really in the way. The freezer drawer on the bottom doesn’t block anything.
Emotionally - growing up, I always had the impression that French door fridges were…higher class? I’m not completely sure where this came from, but I do note that most apartments I’ve been in that have cheap builder’s models in have the top/bottom. Right or wrong, when I could afford the French door style, I went for it. 
I was referring to the side-by-sides where the whole right side is the fridge and the whole left side is the freezer. The house we just bought has one and I hate it. The shelves are so narrow that putting anything new into it larger than a soda can necessitates a near total rearrangement of everything else.
French-door fridges where the whole upper section is fridge and the bottom portion is freezer are very nice. The fridge space in my kitchen is also in a corner, but I don’t have your depth issue. My problem is there is only about an inch of clearance from the wall, so with a French door fridge I would only be able to open the right side door like 20 or 30 degrees.
We’re going to go look at fridges tomorrow and there’s going be a lot of careful measuring.
My advice is to not only measure your space carefully but to also measure the actual unit carefully in the store, and measure it around at different places. Our refrigerator is the advertised dimensions at the top and bottom, but the sides bow out just enough in the middle that it hit the spots where our wall wasn’t completely straight. Of course, most sane people would realize they needed more than a couple of inches of clearance, but it’s tough to stay sane while appliance shopping.
My husband’s old French door, side-by-side fridge/freezer died this summer. I was so thrilled. I’d never been able to pick out my own fridge before.
We bought a three-door, the freezer on the bottom and french doors into the fridge on the top. I love it. The odd way the two fridge doors seal bothers my husband, though.
20 or 30 degrees? Do you mean past 90 degrees? Or would you really only be able to get it open a crack? I’m trying to picture this…
My house, with the doors closed, looks like this (F is fridge, D is door, C is counter, other lines are walls)
+-------------------
| FFFFFFFCCCCC
| DDD DDD
|
|
Open, it’s:
+-------------------
| FFFFFFFCCCCC
| D D
| D D
| D D
|
The left side basically opens 90 degrees and stops at a wall. The right side opens much further.
I’ve actually taken large pans with me to the store to see how they fit. I had a specific springform pan that I use for a chocolate mousse cake that I needed to fit into the freezer for my last unit. I found one with a cut-out in the shape of the door near one of the shelves at the bottom, which allowed me to slide the pan in.
You don’t need to do that for your initial shopping, but it isn’t a bad idea before you finally buy.
I’m thinking just a crack. I’m basing this on the dimensions for French door fridges I’ve seen online, where a 32.63" wide French door fridge is 38.375" wide “with doors open 90 degrees,” which would indicate each door protrudes an extra 2.87" when open 90 degrees. The width of my space is roughly 34", the right side up against a wall, so unless the doors can open flush, that’s not going to work. It’s not just with French doors, it’s going to be a concern no matter what type of fridge it is.
I guess it all depends on whether the hinges are attached to the door on the inside corner (closest to the cabinet) which would require that extra clearance, or on the outside corner of the door (in which the doors would be flush with the side of the cabinet when open 90 degrees).
Kenmore white french door on top, bottom roll freezer with ice maker. No water dispenser TYVM. No magnets on this fridge, will scratch the paint, cannot use windex and paper towel either. Must use microfiber cloth, wax to keep like new (not included).
Ok. I just measured my fridge. Closed, it’s 35.5" wide.
At 90 degrees, I need an extra .25" per side. But that’s not the worse case - on the way to 90 degrees, I need almost a full inch.
The fridge, when closed, is set at 1.5" from the wall.
I did a little reading on gardenweb to see what people think there…the best advice I saw was that f you do end up with a limited door opening, make sure you can at least open the drawers. Obviously if you only have 20 or 30 degrees open, any drawers in there will be hard to get to. I didn’t see any suggestions for a brand/model is sufficiently inset hinges to make the problem go away. 
It might be good to note the cubic feet of your current unit, so you have that as a reference. If you really are ok without the ice maker/water dispenser, then you won’t have to waste valuable space with one.
Good luck…
Top freezer, standard rental apartment type, I’ll call it circa 1995 or so. It does the job but if I ever buy, I’m getting a good one that is big.