I’ve been a fan of cotton bar tape forever. I like how it feels, I like how it looks, and I like that it’s a natural product.
My favorite cotton tape is Newbaum’s. They make a fantastic milled cotton tape right here in the U.S. using only eco-friendly dyes. It has an adhesive backing that’s sticky enough (but not too sticky), and it comes in 10′ rolls that are long enough to easily do one side of any handlebar with plenty left over (there’s nothing worse than running out of tape before you reach the end).
Newbaum’s is available in 14 colors. My favorite is the #23605 Yellow. I coat it with Zinsser BullsEye Amber Shellac to achieve the nice Brooks-like honey brown shown above.