Most periwinkle varieties should be able to handle zone 3-9 conditions fairly easily.
3) Hostas

For shaded or partially shaded areas, hostas can serve as an excellent groundcover to suppress weeds and add visual appeal to the garden landscape.
They offer large, colorful foliage and are relatively quick to grow, meaning they can get to work on suppressing weeds in a short period of time.
For hostas, slighter cooler zones (2-7) are perfect.
2) Clovers

Clovers are perhaps the second most popular groundcover after creeping jenny. They’re tried and tested for their resilience and usually come out on top amongst the most ideal groundcovers.
Though they don’t have any particular “visually striking” features, clovers still work wonders for limiting weed growth and have nitrogen-fixing properties that can indirectly improve your garden as a whole.
Most clover varieties would do well in pretty much all zones from 2 or 10.
1) Dichondra

Dichondra have somewhat of a similar appearance to clovers except they’re a tad bit rounder. They spread fast and can reach a decent height of about 2-4 inches, creating an appealing mat that blends in well but also works effectively for covering empty patches and aiding with weed control.
Warmer zones between 8-11 allow dichondra to thrive and spread effectively throughout the garden.