I haven’t had the best luck with perennial false sunflowers (Heliopsis helianthoides) over the years. They usually bloom okay for the first year or two in my garden and then the plants disappear on me. And the taller varieties can get a little floppy, but I grow them in partial-shade so that may have something to do with it.
Last summer I saw an impressive cultivar growing in a test garden. This is ‘Sunstruck’:
The cheery, golden-yellow flowers look like daisies and appear above interesting variegated foliage. The plants grow only 14 to 16 inches tall.
‘Sunstruck’ is hardy in Zones 4-9. The plants have a long blooming season, and the flowers are supposedly wonderful for cutting.
If I can find this cultivar for sale at a garden center this spring, I may just give it a try.