I've had some trials with Daylilies, and have been threatening to dig up some of them... but really, how can you dislike this:
I used to be much more of a plant snob, and could have named a lot of common, overly used plants.. I too tend to dislike invasive plants... Oenethera berlandieri, golden bamboo, bermuda grass, Euphorbia characias, Euphorbia robbiae (don't get these in your eyes.. I speak from experience), Agave americana (don't back into one), Forget-me-nots (velcro seeds), Vinca major (minor behaves itself here), Tam junipers... the rose 'Mermaid' (nasty bitch of a rose, as is her child Happenstance)... I'm sure if I thought about it longer I could come up with more... Don't get me started on weeds now....