This is the smallest one I’ve found. I’ve used it twice.

https://www.amazon.com/GE-JES1072SHSS-Countertop-Microwave-Stainless/dp/B010RX8GVY?pd_rd_w=EUTZ1&content-id=amzn1.sym.b854a5c2-4475-41f8-a6d4-df92b2868104&pf_rd_p=b854a5c2-4475-41f8-a6d4-df92b2868104&pf_rd_r=4TXQ2KPPR5WWTZG8YJDY&pd_rd_wg=cr3I5&pd_rd_r=7c99809e-3614-4ce2-a08d-3b16c7f1b6fd&pd_rd_i=B010RX8GVY&psc=1&ref_=pd_basp_bia_rpt_ba_s_1_sc

Forget getting one entirely if that is the only place for it. You can not cover any MW with a door like that. It is a fire hazard when the door can just easily swing closed while it is operating. You would need a cutoff switch for the electrical to be installed to do that. Or remove the door.

Microwave ovens have cooling fans and require space around the unit for ventilation/airflow.

@dadoes and @lomo, yes there will be plenty of space since we're getting a small microwave, with several inches on all sides open. The cabinet door will of course always be open when it's in use. It stays open--doesn't swing back, and the most we use the machine for is to reheat a cup of coffee or defrost something or reheat a frozen tamale.

This little nibblet gets good reviews: Whirlpool Mini Micro

thanks MizLizzie--I would have purchased that Whirlpool, but it's too high for our cabinet unfortunately. We have 13.5" of available height.

The LG Neo Chef is 12” tall, but youll have almost no space on the sides.

https://www.geappliances.com/appliance/GE-Subcompact-5-Cu-Ft-Capacity-Microwave-Oven-with-Turntable-and-1-Power-Level-JE510BW

9 1/2" H x 18 1/4" W x 12 3/4" D

• Magic Chef HMM770W 0.7 cu. ft. Countertop Microwave in White
• Danby DBMW0720BWW 0.7 cu. ft. Countertop Microwave in White
• GE JES1072DMWW 0.7 cu. ft. Small Countertop Microwave in White

These microwave ovens are all very small but you will not be providing sufficient ventilation for any of them in that cabinet (see installation instructions).

The GE Profile JE510BW / JE510WC doesn't seem to be sold anywhere.

That is not enough room for any microwave.

IKEA sells a tiny one that is 17 1/4"w x 13 3/8"d x 10 1/8" high. We found it too small since it doesn't fit our dinner plates, but it sounds like it would fit your space.

"So we can store cutting boards..............." and other stuff.

Cutting boards ( wood) how many does one need? They can stand on a counter or hang on a wall. A Keurig gets you a fresh cup of Joe/no re heat

OR...........

Breville/Williams Sonoma

• 19" w x 17 1/2" d x 11 1/2" high (exterior).
• 12" x 12" x 8" high (interior).
• 0.9-cu.-ft. cap.
• 27 lb. 8 oz.
• 900W.

I don't use my microwave much either, and I'm semi-looking for a smaller one.

One thing you MUST consider: small, cheap microwaves tend to be weaker /have lower wattage, which means they will cook slower. Personally, I'd like to have a smaller microwave, but I'm not willing to settle for a dorm room special.

I have the Breville model that Jan shows, and it is great. I had no idea it was possible to love a microwave.

Good to know on the Breville! : ) Their arena IS small appliances, so it doesn't really shock me.

I also live in NYC and totally hear you about every inch counting. But, ventilation for small appliances is no joke. I would remove the door, put a small microwave in there, and put rubber pads on the feet that prevent it from sliding too close to the walls. Do not store anything else in there.

If you are looking for a small microwave go to your nearest mom and pop corner hardware store. These places sell things for NYC sized apartments.

Maybe if you show us pics of other parts of your kitchen, we can come up with some ideas to maximize your space?

A note of caution: In a former home we had a cabinet with a microwave and some cutting boards. It had a door that stayed open on its own. A friend once used our microwave and closed the cabinet door and the unit got so hot - just in 45 seconds, I don't know how it didn't explode. It was scary. We couldn't touch it for ten minutes, that is how hot it got. It is no joke that these need ventilation.

We just put a mini-fridge in a tight space that had just a few inches more than the clearance needed. However, when you open and close the door, you end up pushing the fridge around. Just from being off an inch, the fridge died in a week from lack of proper ventilation. We got a new one, same exact brand because it was all that could fit, and I now put spacer objects behind and on the sides to prevent it from moving an inch here or there.

The OP already stated she'd not be using it behind a closed door. ( We'll assume no kids here )

The Breville gives her

1.5 inches each side, 2.5 at top,

and 3.5 before the plug.

Folks in old kitchens routinely have a small counter top and pile who knows what atop. Seems the air round this model is plenty, although it FITS so nicely? I would just remove the door.

Yeah, it's so much easier to make your own tamales. It only takes a few minutes to make one from scratch. I just don't know where you'll keep the Keurig as it's probably also too tall for the cabinet.

Januaree, look into drilling holes for ventilation into the cabinet, maybe? Into the neighboring cabinets, out the side of the island, etc. Definitely wedge it in place--I have a microwave on a shelf and it does travel.

Thanks everyone! Much food for thought here...

Cut the back out of the cabinet, even wall mounted it will have more ventilation. Mount the plug on the wall.

@denise boyce: "Cut the back out of the cabinet..."

Don't do that. That's an IKEA wall cabinet and the back keeps the cabinet square. Also, the cabinet is hung on a rail and is very close to the wall, both of which would impede any ventilation improvement. The depth of the appliance isn't the problem; it's the required air space at the sides and top.