I use nothing but Scor Tape (also known as Sook Wang tape) - not one of my cards have fallen apart since I switched to it. Personally I think it is cheaper than most other tapes and it comes in a variety of widths from very narrow which is ideal for thin ribbon to very wide, and also comes in 8.5 x 11 sheets. And you don't need to cut the narrow tape as it is easy to tear.
Debbie, here's a link for it:
SCOR-TAPE : Zen Cart!, The Art of E-commerce
Kathlyn47 - you asked if it is permanent - yes, it is. It is also acid-free so is perfect for family heirlooms.