The best plants for erosion control are those ground covers or shrubs that are vigorous, attractive, and have a root system effective at holding back soil on a hill. They should have spreading foliage to slow the velocity of heavy rain. If you live in deer country they should also be plants that deer tend to resist eating. The following list gives you a variety of choices, each of which meets these criteria.
In your plant selection, aim for a balance between beauty and practicality. The prettiest plant you find in a garden catalog will disappoint you if you grow it under the wrong conditions (too much shade or sun) or to serve a function it is not suited to serve.
You also have to strike a balance between beauty and vigor, since you may not want to create a landscape-maintenance nightmare by introducing plants to your yard that are going to spread beyond the bounds you intend for them. Some of the best plants for erosion control will be too aggressive for some homeowners, so evaluate the selections on a case-by-case basis.
Here is a great publication with a plant list:

https://wmswcd.org/wp-content/uploads/2015/12/Native-Plants-for-Erosion-Control.pdf