some totally wild guesses, based on plants people sometimes use for this and my own efforts to make a diverse yarden, good for walking on, hanging out on, maybe some edibility, but without grass-
chamomile, or its wild cousin - pineapple weed
sweet wild violets or its more tame cousin viola, aka heartsease
of
course theres always
permie favorite - clover, of many types
self heal is good for this purpose
as are all mints
ah theres more...but my first guess would still be chamomile or pineapple weed as the one you are looking for. mostly because it is more commonly known about as an alternative to
lawn.