My very, very, favorites are the tall pink (also come in white) ones that bloom late summer. Sometimes we get an early frost that kills the buds so I don't get any blooms, but the last few years we've lucked out and had armloads of them. I love to cut them and bring them in, they are such a sweet flower.
Those are ( I looked them up) Anemone hupensis japonica. And the little white guys are Anemone sylvestris. Both types can be invasive, but that's not a problem as far as I'm concerned. They can have as much of that bed as they want! I did give my mom some ( tall pink variety) for her garden in northern Calif. and they absolutely went wild. She was mildly concerned that they would soon be coming in the front door and helping themselves to the fridge, but I went down and whipped them into shape.
I think they are definitely worth a try.