I usually buy NOS stuff from the seventies and eighties whenever I come across it. Generally cheap - $5 on average - and period-correct for many of my bikes. I find that most modern tapes just look too modern on a forty-year old bike.
The notable exception was
this stuff. I'd bought a pack for one of mrs non-fixie's bikes, and was so impressed with it that I got another for myself to try out. It's currently on my Bontekoe-Alan. It's a faux suede-like (not a pleonasm - they call it "velour") material that feels quite nice, and looks rather plush, IMO. The jury's still out on its durability and re-wrapping qualities, but I'm fairly optimistic. (BTW, I have no business interest in the stuff. I get it at
Bikester for €12. Available in black as well, I just noticed)
I wrapped it top-to-bottom, just to see if that would hold up, as I couldn't imagine finishing tape looking good with this stuff. And yes, I need to find lever hoods that fit better.