Just found this service:
https://www.coincorner.com/Do I need to supply any documents when I sign up?
When you sign up for an account, you wont need to supply any documents*. We offer new customers the chance to buy up to 1000 (or GBP equivalent) Bitcoin before photo and I.D. documents are requested.
*If you fail any of our automated checks you may need to supply documents before purchasing Bitcoin.
Any experiences?