Many charities will not accept used stuffed animals because it is seen as unsanitary. I tried to donate stuffed animals to Goodwill, but the worker told me they couldn't accept them because the eyes were a choking hazard. I would just pass them to my children or throw them away.
Old stuffed animal toys can be given in the way of donation or charity to kids whom donot have nothing to play.It would be definetely a good oppurtunity for you to make those kids feel happy.
You can donate them to charity. Goodwill, the Salvation Army, and pretty much any thrift store would be happy to take them off your hands. If the charity doesn't feel they're sellable, they'll dispose or recycle them.
Yes, if old stuffed animals are in good condition, you could consider giving them to a charity, or even a local hospital or police station. Another good choice might be a homeless shelter for families.