There’s a selection of weird and wonderful scooters on eBay, from this fella. All of them look like they need a fair bit of work, and don’t come with any documents as they were barn finds.
There’s a couple of LD’s in there, as well as a Vespa Sportique, a Triumph T10, a BSA Sunbeam (or it maybe a Triumph Tigress… they’re pretty much the same beast), a Jawa Manet, and a Manuhin Concorde. None of them are much money (at the moment anyway). If you fancy something different, and you’re handy with a spanner, you might be able to grab yourself a bargain.