Except for a very few domestic routes like JFK-LAX, domestic first class is basically a larger seat, meal service (sometimes but not always), preboard privileges, and improved attention from the flight attendants. Many or most people sitting in domestic first class don't actually pay extra for it; they are the elite frequent flyers of each airline. (I am one on American.) It is not what domestic first class was like 25 years ago, but it's a lot better than cattle class. American is still flying three-class 767 with true first class on some transcontinental routes and will replace those with three-class Airbus 321. American still offers international first class on 777 aircraft but not the international 767 fleet (which is separate from the domestic 767 fleet). Most other U.S. airlines have dropped international first class entirely and offer only business class.
These 767's have some domestic uses. I was on a 3-class 767 sitting in first with meal service and truly lie-flat seats on all four legs of a LAX-Nicaragua via Miami. Even though none of the legs were longer than 5 hours, it was still a nice service.
Indeed, they still do--but the F-J-Y configuration is on its way out on US airlines. Other airlines (SQ, EK, BA, et al) still operate three-class aircraft on certain routes because they make sense.
In domestic flights, even UA is dropping F from their p.s. product and moving to a two class product.
Also... just noticed your 'interests'. Fellow debater?