I think the best way to do it is to either work directly for a regular company with a job you do at home or to start your own business doing whatever your particular skill is as a contractor. For example, my DH is a computer programmer/DBA, and he used to be able to work from home a few days a week. (Now he's in upper management and has to be at work to manage people. He only works at home when he's not feeling well and doesn't want to spread germs or when there's a big deadline coming up and he needs to get away to get the job done.) DH is also moonlighting as a programmer, and he does that almost entirely from home. But he didn't go through a company to set that up. He just finds jobs on his own.
The most important thing is to use the skills that you already have. There's no need to look for a certain industry that makes it easy to work from home. Just try to see how you could do the job you do now, or a similar variation, from home.