It's not perfect, but I spread a lot of regionally appropriate clover all over my existing lawn. By getting a variety of colors it means I get pretty flowers, it doesn't grow tall which keeps the neighbors from being too unhappy and I regularly have a decent number of polinators just doing their thing.
It hasn't killed the grass, but it is doing a good job stunting it.

I'm still occasionally required to mow by code, but when I do it doesn't eliminate the flowers and just lops off the top few inches of grass and clover.