Unibond I think it is sell a very powerful (permanent) tape on a softish rubber like backing under the No More Nails brand. I think they may do some weaker/removable adhesive grades too.
For a standard double sided type - not sure what exactly they do but 3M tapes in general of whatever sort tend (if a little pricey) to be of very good quality, and again may have various degrees of tackiness available..