"desirable" plants that become invasive monsters

Helianthus lemon Queen is a bit exhuberant in my garden and I may have to get ruthless with it this year.  Phlomis Russeliana is self seeding very happily and so needs rooting out a bit this year and lysomachia clethroides alba needs lifting, dividing and giving away as it's a bit too happy.    Cornus Midwinter Fire is a suckering thug.  I moved one shrub a couple of years ago but must have left bits of root behind so 18 months ago I dug up 12 new babies and transplanted them elsewhere and into pots and blow me if it hasn't popped up again in its original site.

That'll be the pennisetum. and the blue comphrey, and the big native comphrey, though that's by seed not root. woodruff, a pink willowherb that I was told wasn't invasive, a white aster, one of the bugles. But not your euphorbia, that's no bigger than when it started.

Crocosmia

Everything that does not die.

and acanthus and macleaya and one I can't remember the name of, lamiaceae, mauve, 18"- 2', seed heads very attractive like little steps up the stalk, seeds every where and has very resistant roots, even when quite young. And, reminded by obelixx, all the lysimachias. I may not have finished yet.

That is particularly naff isn't it, especially when it's in too dry a spot. Never goes away and never looks good then and most of my spots are too dry.

I've remembered the name of the mauve invasive plant. Scutellaria altissima

Most plants with the world 'Japanese' as part of their comon name .Apart from the obvious Japanese knotweed (which invaded one garden I had),  Japanese honeysuckle (lonicera japonica) and Japanese anemones come to mind. Yet they are beautiful plants and Japanese anemones were recently recommended by Carol Klein as her plant of the week. i still grow J anemones and love them.There is also a beautiful fuchsia-like plant whose name I can't remember at the moment but is Japanese something.It was stunning for a couple of years then began to spread like mad and became straggly and invasive and almost impossible to remove. Really, anything that spreads by underground runner or that will grow from a little bit of root left in the ground. False nettle (lamium) is a complete pest in my garden. I introduced it when I knew virtually nothing about gardening (not long ago, then). All these plants seem to be particularly valued by herbalists, though.I once had a garden where lily of the valley had virtually taken over and I pulled them out like weeds.

Also  borage

Lily of the valley and vinca major, planted by previous owner and spread throughout the perennial border. In fact some still pop up several feet away from where they were first planted.

Agree with Japanese anemone - the pink ones, anyway, Vinca major and Acanthus. Spanish bluebells are also a pest for me. Other people's thugs - Crocosmia, lily of the valley, that light green pleated leafy thing that looks pretty with water droplets on (can't bring name to mind) won't grow at all for me.

The list is endless isn't it

Vinca alchimilla, borage which pops up every where once you have it, and crocosmia, but it is more esily controlled once you inderstand its habits!, And acanthus

Most lists on here are very similar. Just bought 3 plants of Cornus midwinter fire - based on what Obelisxx says perhaps it's a mistake - they are not planted yet.

And Japanese bluebells, their thick leaves prevent anything growing, I spent years at the other house slowly eradicating them.

Thanks, figrat & Bjay, I knew it began with A !!!

For some reason my Alchemilla Mollis behaves quite well in the actual soil but I am forever pulling it of the cracks in the path and patio.  I try to remember to cut the flowers off before the seeds set - I don't like the smell of the flowers so that helps!

I have alchemilla too but am ruthless about cutting off the flowers to restrict its spread.  My flower arranging friend almost wept when she saw me doing that and chucking them on the compost.      i find it's a good weed suppressor whilst waiting for other more interesting plants to beef up.