Are there any special challenges with non-trophy incentives?

I recall in Dark Souls 2 there being special rings granted to the player for beating a play through without dying and also beating the game without using a bonfire. The map of flames in Majula would also turn blue if an area were beaten eight times. Are there any incentives like these in Dark Souls 3 to do challenging feats? I'm especially curious due to the Estus Flask's item description saying "no journey of import has been made without an Estus Flask."