American has the "Admirals Club" or at least that's what it was called at one time. Maybe use your miles to buy your way in, unless you are flying first class, then it should be included in your ticket. Some airports allow the passenger to pay their way in also. Like I said before, there is food and drinks, including wine and some spirits, (they won't allow anyone to over-indulge), reading material, games, TV and other things to do to hang out while waiting for your flight.
United's club in Dallas has a lot of good stuff in it. I would think American would as well.
It may be worth checking out. Clubs at different airports have different amenities. You may enjoy the relaxed feeling inside the club.