What type of green perennial plants don’t grow too tall?

Hostas

will depend on your grow zone https://garden.org/nga/zipzone/ check with a local greenhouse/nursery ( not a 'big box store that just wants to sell plants ); you want plants that will be reliable in your area/conditions - amount of sun they would get, type of soil, annual rainfall, etc. all play a part in selecting plants -- not just their appearance

Some varieties of hosta are short and would work for you. They only bloom once in the summer and you can easily cut off the simple blooms if you don't want them. Lily of the valley might be another option for you.

Hello, A lot of our planting suggestions would depend on your planting zone location and climate plus careful consideration of the kind of plants that you like and the plant maintenance demands you can handle.

Some suggestions might be ground covers, hostas, astilbe and sedum and some shrubs that can add potential color and texture. I personally favor the colorful spirea, Barbarry and burning bush.

Looking around your local commercial areas like shopping centers, parks or local neighborhood might give some ideas to local successful planting. Perhaps you can pull some ideas from the examples there.

For your local recommendations I would highly suggest contacting your cooperative extension. These offices are manned by volunteer master gardeners on site there waiting to answer the communities questions that know your local situation quite well.

Master gardeners are required to volunteer back designated hours ( plus continuing education) each year to maintain MG certification -this community outreach and education is their goal. I hope this helps!