Seeking white plastic tape? Do a search for "Pelten" or "Bike Ribbon". Such tape is not as thick, is easy to clean, and is often longer lasting than cork. For a real trip back in time, try Benotto. Very thin, much more like ribbon, but pearl looking colors very attractive and leaves you with a nice, skinny feeling on the bars. Comfort shouldn't be a problem if you have good gloves.
David...still living in Olde Fartedom.