On the refrigerator, don't box it in so badly that you block airflow to the coils. Remember how a refrigerator works. It pumps the heat inside the refrigerator and dumps it outside through a set of cooling fins in the bottom back area. If you box it in too much, it won't get enough fresh air to cool well, and it will run inefficiently, fail to cool well, or breakdown prematurely. It's not a big deal if you provide space for that.
Bonus points if you can access the back of the fridge to clean the fins, as you should every few years. Try to set it up so dryer lint isn't drawn into the cooling fins.
The fridge needs to be leveled. The manufacturer has a spec for this. Generally the fridge is slightly "tilted back" on purpose, so the doors will self-close by gravity freely and firmly. When set up right, it's a thing of beauty.
On the electric service panel, remember you must have clear space around the panel as described in the link here.
Also don't forget that since this is a remodel, you must bring the remodeled area fully up to new electrical code. Figure on dedicated circuits for each of dishwasher, garbage disposal, microwave if built in, at least 2 (I recommend more) circuits for kitchen counter receptacles (honestly in the age of USB you just can't possibly have enough kitchen receptacles). Might be worth thinking about fitting a 50A circuit for an electric range/oven, also consider providing outlets for in-cabinet or under-cabinet lighting since the LED options these days are marvelous and cheap.
I recommend a dedicated circuit with a SINGLE receptacle for the refrigerator. Have that be non-GFCI if you can convince your inspector to allow that.
I know...and the cabinet "salesman" didn't offer to explain about the clearances needed or the "closure" trim needed in the corner due to a narrower cabinet either...very helpful wasn't he.
So, I don't see an easy fix without it looking like a mistake, so, I'd buy the narrower cabinet and chalk it up to experience. Be sure to get the 2" - 3" wide trim that runs vertically in the corner. (By the way, will the right hand drawer clear the left hand cabinet pull without a vertical "closure" trim too.)
Remember, the kitchen is a key element in the resale of the house...you want it top-notch. Buyers spend some time in the kitchen when checking out a house to buy.
Best Answer
Cabinet front faces are normally built as a structural frame. In general trying to cut away part of that frame can literally mean that the frame could fall apart as you cut into the doweling or mortise and tenon joints that hold the frame together. What you propose is not something I would recommend.
I think that you may be asking an X Y type question here. You should really step back and re-evaluate how much junk you are stuffing into your drawers that they are so full that they need another three quarters inch to be able to close. I see two things to consider instead:
Take a hard look at how much stuff is in those drawers that never gets used. If you are like most of us there is probably 30% or more content that can be taken out for donation, charity or throw away.
If your situation is one where kitchen drawer space is very poorly designed and minimal then take a look to see if there is some way to gain some more space. Some ideas that come to mind are to add a kitchen island with added cabinet space/drawers or to purge the dishwasher (pick up the old craft of hand washing dishes) and retrofit the dryer space with more drawers.