There is a hardcore mode in Solomon's Keep... Just click on hardcore when you create a new character.
You know the temple heals you faster, right? Also regeneration spell and healing/restoration potions... lots of options. And yes, 2.0 is adding some new classes. thegrave, I have been playing Solomon's Keep/Boneyard lately, they are pretty great fun. Definitely check them out Darkreaver1980.
Well any game can behave like that, just your choice, play one and if your character die restart the game. That approach will offer you much more choice of Hardcore games as you want. On this base pick Underworlds or Dungeon Hunter for the stuff that are the closest to Diablo.