I'm currently involved in a couple of Stonetop games, which is a Powered by the Apocalypse game. It uses 2d6 plus stat versus static tiers (10+ is a full success, 7-9 is a success with a consequence, 6- is a failure). It uses the core 6 D&D stats. It has some really evocative playbooks (classes) which correspond pretty well to the D&D classes, although probably a bit toned down overall. The setting is a quasi-iron age land, with the PCs all inhabitants and champions of one village. The game revolves around the village.
Swords of the Serpentine uses the Gumshoe system, which is a D6 pool system. It's also focused on a specific location, the city of Eversink. It has a very sword and sorcery vibe to it... very Lankhmar. That might be suitable for your group. I haven't yet played this game, but I've read it, and it's an evocative setting.