The list @Shalmanese uses is similar to the ones I’ve found and tried, although mine also had some powdered sugar in the breading to add that slightly sweet taste (which the milk powder does as well) and to aid in browning.
To me, there are a few issues with replicating at home, although the biggest one I’ll leave for last.
First is the chicken itself. As @WildaBeast points out, most of the white meat chicken breasts you get at the store are oversized, pumped full of brine, woody/tough and often tasteless. You will do better with Redbird, or other smaller scale operations, but you’ll probably need to re-size and/or flatten them as well. Another advantage is a commercial deep fry option lets you cook fast and hot, without loosing moisture to a long cooking time or toughness from overcooking, something harder to do in home rigs.
But as @pulykamell points out, you can make a better sandwich, taking these options as a base and improving them, thighs, better brines, more seasonings, other options such as corn chip / corn flakes in the breading, panko, on and on and on.
Buuuuuut…
That brings me to the last point. Making fried chicken at home, while often amazing, is a metric ton of work and/or investment of specialty equipment. To make great dishes you’ll be doing a lot of prep, mechanical and brining, along with pre-fry work, and post fry cleaning. It’s exhausting. Not that it isn’t worth it, but the above made me go from frying say once a month, to 4 times a year, to “special occasions only”.
IMHO, you’re better off buying any of the higher end pre-made options and finishing at home, either in a home-fryer or an air fryer. Or, as pointed out in post # 2 by @Kolak_of_Twilo, learn the tricks above with good chicken, good breading options, and a fast brine, but do the cooking in an air fryer / convection oven / conventional oven and save a metric ton of cleanup work (in straining and cleaning oil) while getting 90% of the flavor profile.