Don't leave the home! It's your home too. Chances are she is just as miserable with you as you are with her yet I would bet she is not having this internal struggle with whether or not to leave the home. Women leaving the family without bringing the kids is very rare. Men should never think it is incumbent on them to leave the home.
You mentioned that you aren't fighting and likely there is not physical abuse, just mere tolerance of each other. You're both numb and bored with each other. Change your hobbies and habits to get yourself out of the rut. I think you got the message about stopping drinking so I won't beat that dead horse.
DON'T have an affair! The last thing you want is for your kids to think you caused the family to be broken up because you couldn't control yourself. And you can't justify it by saying it because your wife didn't like you. Your wife would surely speak evil about you to your kids which will cause irreparable harm to them. Girls will have trust issues with men and your boys won't understand why Dad left. It also opens the door for another man to raise your kids. Avoid that.
Whatever age your youngest kid is right now, stay in the home until they are 18 or out of the house and on their own, or in college or whatever. Think of it as a contract with your kids instead of a contract with your wife. It's awful that you and your wife are not getting along, but suppose that it was your 10 year old child that was uncontrollable, awful and treated you and your wife terribly. Would you leave the house because of it? No, you would keep trying something else even if that included ignoring the behavior altogether.
You mentioned lists. You believe that your wife will restore her love for you if you complete a checklist of items. It is actually doing the opposite for you. Your wife won't love you if she doesn't respect you. You have unwittedly become her lap dog. If you sees you as a self-pitying drinking sloth, you're aren't the attractive to her any more. Women are attracted to confident men. Stop waiting on her. All that stuff you were doing for her, just stop doing it cold turkey.
Besides cleaning up the drinking, over the coming year redefine yourself by doing constructive things YOU want to do NOT because you want to become more attractive - physically, intellectually, emotionally, etc. Don't do it for her, do it for you; there's a difference. Women are highly intuitive and can sniff out when you are doing things for ulterior motive.
Good luck and stick with your kids in your own home.