DH has taught our sons: Car repair that is possible without a computer, basic woodworking, animal husbandry, gardening, machine shop which includes fabrication and design, tile laying, small engine repair, instrument repair, budgeting and money management, and creative problem solving.
What I have taught our girls: Cooking from scratch/healthy cooking, canning, spinning, knitting, sewing, meticulous hand sewing, hair cutting, gardening, art and design (now would that be condsidered self-reliant?), efficient and frugal homemaking, budgeting and money management, animal care, child care, first aid, and thinking outside of the box.
What we have both taught our kids: The joy of making, the love of learning and self-reliance. This has encouraged them to learn skills that we did not teach them.
I have taught a number of women and young girls (not family) how to knit, as well as a small number of sewing and embroidery "students." I have made more offers to "teach" (always free) than "students" who are willing to learn. Unfortunately, few wish to hurdle the learning curve.
My most successful "students" were the knitters, but few are still knitting. At least with knitting, and especially the 8-11yr old girls, there is a time and place. I have had a number of them really do well, but as they got older, and more involved with other skills, knitting was set aside. I tell them they will come back to knitting when the time is right. And they will.