I would recommend using the washer that belongs there. Most likely the OEM washer is either copper or aluminum. A stainless steel washer is too hard and will not crush properly. A paper washer is not strong enough to withstand the torque on the drain plug and will most likely tear before the drain plug reaches it torque.
Go to your local dealer and buy a handful of the OEM washers. They are very inexpensive. Every time or every other time you change your oil, install a new washer. Using the same washer over and over, can cause the drain hole to split.
Just my $ .02