There are a couple of different ways to approach the question of creating an anarchist-leaning home school curriculum. For one, it really depends on where you live in the world. Laws and requirements pertaining to home schooling are different all over. For example in the USA, I believe each state has their specific education requirements to follow. For example in New York State, there is compulsory attendance between the ages 6 - 16 years of age, except in some cities where it goes to 18. Instructors are also required to preform an annual notification, instruction plans must be submitted, attendance records kept, along with assessments & testing. You can find more information about specific regulations and such by reading up on the State guidelines.
On top of everything, is creating an anarchist curriculum (and then instructing and using it!). The idea of curriculum is a huge subject to tackle and is something that professional teachers spend a large amount of time on (many of them unsuccessfully). Many departments within schools today lack a meaningful and useful curriculum, and even fewer can provide exemplary work. Recently, there has been a lot more discussion and debate on the subject as the common core curriculum begins to be implemented in the USA.
What may an anarchist curriculum look like? It may start with an idea, as in your case "which does not promote blind obedience to the state, and is free of religious and militaristic propaganda etc.". How do you tackle this? For me, I may start thinking about what I want to happen as the instructor. Read up on other alternative educators and schools like Paulo Freire, Francesc Ferrer i Guàrdia, the Modern School, Waldorf schools, Montessori schools, and vocational schools.
Some areas of study:
play / games - everything. Recently some anarchists have written about play and games, see AJODA issue on Play / Games. "The Ideal Game instructs because it is ultimately all there is to experience' " - Alejandro de Acosta
anarchist studies - history and current events through scope of anarchist vision
language - languages are most easily learned by the young, elementary school age and as you get older it's tougher, but a rewarding and important area. so many different languages to learn!
other stuff.
