Generally, a game that contains combat in any form, even if it is optional, is usually directed here to the Darkside forum - That includes games with turn-based battle. Many classic RPG's are defined by that style of play. There are also "Darkside" style games that contain a Story Mode, allowing an individual to take part in the game, but avoid combat.
Personally, I would simply term games that fall out of the usual classifications as hybrids. In recent years there have been departures from what would be considered "pure" game genres and the foundational game definitions (yes, they did exist) are becoming less adhered to.
Adventure gamers are more than welcome to discuss those hybrid games here, we don't bite. Well, maybe just a little.