Easier than Zoysia to get a complete carpeting groundcover out of is a
little forb called Prunella vulgaris, which is already naturalized
throughout the world, being more adaptable than zoysia, looking fine in
part shade to full sun, varying degrees of moisture, & changing soil
conditions over a large area. Zoysia will look different in differing
conditions & might not thrive at all along patches that are shaded. Both
Zoysia & Prunella require watering just about as regularly as a grass lawn
(maybe SLIGHTLY less) so for a lawn that was a bit easier on resources
Lawn Chamomile might do the trick.

Here's the Plants for a Future list of plants that can be used as lawns:
http://www.pfaf.org/database/search_...p?K%5B%5D=Lawn
though this list incudes plants that make a taller lawn or which make a
lawn only in spring (bulbs) or stuff that dries out in summer, & it
doesn't include ALL potential options (Dichondra micrantha repens aka
"dewdrop lawn" is missing from the list) but it's a nice page with
something to say about many of the plants people use as lawn substitutes.

-paghat the ratgirl
--
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"In every country and in every age, the priest has been hostile to
liberty. He is always in alliance with the despot." -Thomas Jefferson