Tricorne Leather & Synthetics Ltd Leather Suppliers. Tel: 020 8450 9988| Unit 11, Millennium Business Centre, 3, Humb, Humber Rd, London, NW2 6DW sell a lot of patterned vinyl.
Griffine of France used to sell some of their vinyls through Soho Silks off Berwick St: I'm not sure if they still do. Also Open Space 200 Brick Lane keep a huge stock of heavy victorian-doctors-bag-kind of floppy leathery vinyl from the same company.
I'm researching cork at the moment and don't know how to connected facts. Cork seems to work to add bulk colour and texture to backings and varnishes on each side.
Norgahyde in the UK comes from http://www.abbeyfabricsuk.com who also sell a UK-made wood-based microfibre that for some reason they're unwilling to sell to some customers - either it's exclusive to other customers or it's too biodegradable for shoes or something like that. They call it Axiom and I'm not sure who makes it for them.