First I suggest you do a soil test! You will learn about your soil including soil type, pH, nutrient levels and more. Knowing the type and fertility of your soil is the starting point to establishing & maintaining a strong turf or ground cover alternative that can resist diseases, moss, weeds, insects/grubs and look great at an optimal cost. More info here:Don't Guess-Soil Test-MSU and MSU Home Soil Test-self mailer
Here are groundcover possibilities, BUT you'll need to check on the suitability (light, soil, moisture & hardiness zone) for your site: Thyme (Thymus serpyllum), Wall Rock Cress (Arabis caucascia), Smooth Pussytoes (Antennaria parlinii), Yellow Trout Lily (Erythronium americanum), Silverweed (Potentilla anserina), Pennsylvania Sedge (Carex pensylvanica), Lesser Pussytoes (Antennaria neglecta), Wild Ginger (Asarum canadense), False Rue-Anemone (Eniemion biternatum) and there are more.
I want to warn you of several invasive ground covers to stay away from. They include: Goutweed (Aegopodium podagraria), Bugleweed (Adjuga reptans), English Ivy (Hedexa helix), Chameleon plant (Houttuynia cordata), Virginia Creeper (Parthenocissus quinquefolia), Mossy Stonecrop (Sedum acre) and Periwinkle (Vinca minor). These ground covers don't play nice, spreading aggressively by seed/rhizome/stolon, and could bring you regret as you fight to contain them over and over.
Rather than just give you a limited list of specific plants, I'd rather give you links to articles on alternatives to turf and recommended native plant lists for you to read and bookmark when desired (you know your site specifics better than I do):
Groundcover Alternatives to Turf-MSU
https://www.udel.edu/academics/colleges/canr/cooperative-extension/fact-sheets/turf-grass-madness-reasons-to-reduce-the-lawn-in-your-landscape/
https://marylandgrows.umd.edu/2023/06/23/select-ground-covers-for-your-landscape-carefully/
Invite Pollinators By Creating a Habitat-SG-MSU
https://mdflora.org/publications/gardenersguidelines/gguides.html
https://www.canr.msu.edu/home_gardening/uploads/files/Using_Native_Plants_2024-04-25_AA.pdf
Native MI plant lists-MSU
Native Grasses & Sedges-Lafayette
Native Plants & Insects-MSUEs
Native Plants for MI Landscapes-Shrubs
Minnesota Wildflowers-MN
https://hort.extension.wisc.edu/articles/alternatives-to-lawn-groundcovers/
https://extension.umaine.edu/gardening/2022/11/16/what-are-some-low-maintenance-groundcovers-to-replace-a-turf-lawn/
Neighborly Natural Landscaping Info-PSU
Some suggestions: Put in several different ground covers, that flower at different times and grow at different heights in several areas of your yard for variety. Create islands in the sea(s) of groundcover where you put shrubs, grasses, hostas and/or flowers as eye-catchers at various times of the year. If you are replacing the whole lawn consider leaving a strip of turf along the driveway and along the sidewalk to not shock the neighborhood too much with your conversion.
Books you could read include: Landscaping with Native Plants of Michigan by Lynn M. Steiner, Native Plants of the Midwest by Alan Branhagen and The Gardener's Guide to Prairie Plants by Neil Diboll & Hilary Cox.  Also consider reading the following books by Doulas W. Tallamy: "Bringing Nature Home" & "Nature's Best Hope".
You can also contact Prairie Moon Nursery (prairiemoon.com) and Prairie Nursery (prairienursery.com) to get their catalogs as both sell a variety of native plants & seed mixes. They also have good instructions on proper site preparation and seeding steps. Other more local seed/plant sources include Michigan Wildflower Farm (michiganwildflowerfarm.com), Wildtypes (wildtypeplants.com) and East Michigan Native Plants (eastmichnatives.com). MSU Extension does not endorse any retailers or brands.  I wish you good luck on this.
Regarding endangered Michigan plant seeds, check out the Michigan Nature Features Inventory (Michigan Natural Features Inventory - MSU) for a list of Endangered (E), Threatened (T), Probably Extirpated (X) and Special Concern (SC) plant species of Michigan.  I do not know where you would find seed.  You might try the Wayne County Conservation District (https://www.waynecdmi.org/).  Your yard would need to be suitable in both soil conditions and habitat to successfully grow any of these plants.  Getting the seed to successfully germinate also takes special knowledge and skill.