You can still get the cloth tape. I think www.biketoolsetc.com has it, about three bucks a roll. I buy it by the box in all the colors I use. I would suggest paying attention to the cable and housing; along with the chain, they're usually the first thing I toss on an oldie up for a rebuild.

I'm more of a rebuild guy than a restoration one; I just like to get them ridable and usually don't go overboard in making them original or period correct.