Condoms have an expiry date, usually about five years from their production date, as far as I can tell.
Obviously, it means their effectiveness is dramatically reduced if used after that expiry time (and chance for tearing/holes increase), so there would be the usual risk of having unprotected sex if used for that purpose.
Are there any other health risks beyond that? If there are, would they occur by simply handling the condom or using it for something other than its intended purpose?