A lot of English ivy here. I'm ripping it off the fruit trees and was using it for the ecological flushing liquid of our camper toilet as described
here. Very soon we'll be changing over to compost toilets, so the flushing liquid will not be necessary anymore.
I'm also using English ivy as a laundry detergent, as mentioned by William, to wash when there are no stubborn stains.
For the rest...I'm tossing it on top of the heap of cut off branches, weeds etc. It's my Compost Heap Of Unwanted Things, so I'm not using it as compost for my vegetable garden. One might view it as a place for wildlife to nest? I'm not sure. Chicken like to scratch there every now and then.
In conclusion: English ivy has its place in soapy solutions, otherwise at my place it's doomed to end up on the CHOUT.