maybe people aren't defining some of those terms for you because they're defined on wikipedia? i think anarcho-capitalism and anarcho-communism are fairly repped on wikipedia, at any rate. if you don't like the definitions provided there, then to get the kind of answer you want, it would be helpful to know what is dissatisfying about what is already easily available.
capitalism is a different kettle of fish. because as you allude, dictionary definitions of capitalism are almost entirely economic, and there has been a LOT of theory that expands on that simplistic understanding of what capitalism is (or more accurately, the work has been done on how capitalism works, how it maintains itself in the face of so much opposition, etc).
here are some similar (or exactly the same) questions already on this site:
(if you search for capitalist and/or capitalism, you will find more.)
i look forward to your thoughts on those threads, or your clarifying comments here. :)