Here to pay property taxes the only free way is to drop off/pay in person. The online options are ach payment, which has a $3 fee, or credit card, which has a 2.95% fee.
The apartment my daughter had resided in switched to only accepting payments through their online system. She had the rent deducted from her checking account each month, and was charged a fee each month. That seemed wrong to me, that there was no way for a resident to pay their rent which did not involve an additional fee. They could not mail a check or drop off a payment somewhere.
Doctor offices affiliated with one of the local hospital systems stopped accepting cash at least a year ago now I guess. So far no charge for using a credit card though.