What width is the tape? For example, 1" and 1/2" reel-to-reel tape could be a variety of formats. This guy specializes in vintage video tape formats, including damaged media.
http://www.videointerchange.com/
Any tape you have from the 1960s likely needs to be baked. Do not attempt to play the tape! Have a professional deal with it. The services at the link above are not cheap (neither will any other service), but well worth it.