You cannot recycle VHS tapes for cash because it costs companies too much money to recycle them. The only part of the tape that is recyclable is the black plastic casing. You can remove the tape from inside and give the case to a recycling company.
Alternatively, some charity shops and public libraries take VHS tapes for free to lend or sell. To make money from your VHS tapes yourself, you can sell them on such sites as eBay. Some VHS tapes are collector's items. Earth 911 suggests artistic people use the tape inside to make such items as wallets, bracelets and ribbons.