I don't really think in RPG terms. There are some things I want in a game, mostly it being a medieval-type fantasy setting, 3rd person perspective, character creation, good story, good combat system, good skill system, humor, good voice acting and NPC depth, freedom to make certain choices... Not all elements have to be included for me to like a game. A game can even have only one of these; if it's done well, I may love it.
Look at the Legacy of Kain games, which I loved (especially Defiance)... Look at Urban Chaos, at Warcraft II, etc.
RPG's definitely don't have a monopoly on being games worth playing. There are awful RPG's that are not ARPG's. However, bad ARPG's usually sell a lot more copies than bad 'real' RPG's.
