I once had Rosa rugosa in my garden and it took a long time to get rid of it once I realised how invasive it is.
I do grow Euphorbia fireglow, also Vinca, but they are in a small patch which is totally surrounded by tarmac or a wall. The Vinca tries to escape by sending tendrils round the side of the wall but even I am faster than this plant with my snippers, and have so far kept it under control.
Some of these thug plants can be quite useful if you have very poor soil and can't get anything else to take. But the absolute exception to this is that blasted Himalayan balsam. I hate that plant and go up and down the lane pulling it up in the hope that it won't get into my garden but it is creeping closer every year.