Lowtech Graph lists low-tech options for every need of a home. Here you can compare them, find tutorials to build them, and link them together into a circular system. Why low-tech?
Cleaning greywater enough for whatever comes next. Soap, grease and food scraps are what have to go. The options differ in how clean the water ends up, whether the treatment runs on plants and gravity or on a powered machine, and how much room each one takes.
Ranked by effluent quality, how clean the water is at the outlet, and how consistently. Membrane filtration is the ceiling and the only option producing water fit for indoor non-potable reuse; the biological beds reach a good standard given enough area and residence time; a sand filter alone is a pretreatment stage, not full treatment. Drain water heat recovery appears in this sub-function but is not ranked. It recovers heat and does not treat the water at all.