I'm not seeing any mention of it, but I think a lot of people might be interested in Break! - it's specifically aiming to make a game that has the vibes of an "adventure of the week" system, where you learn of an ancient ruin, gear up, venture through the wilderness, explore a crumbling tomb for loot, then get back in time for dinner and an ale. - Basically I'm saying that the game is specifically designed to try and tell the kind of stories that DnD is designed for.
Where break differs from DnD is in it's approach to mechanics. Downtime, journeying, exploring an adventure site, and fighting are all their own small, light subsystems of rules, so there's clear guidelines for how to run each of them, and they're largely aimed at highlighting the cruical and interesting moments for each of those activities, while quickly glossing past the faff and monotony of what lies between.
I've lost track of the number of DnD campaigns I've played where the DM didn't really have a clear framework for what to do on a long journey, and resorted to just tossing a couple of random encounter fights in because it "felt necessary", but they never felt like they advanced the story or contributed anything interesting to the game.
It's also a game you can recruit random NPCs and the like to join you and follow you around, and when they run out of HP you check to see if you remembered to give them a name. The world knows that characters who have their own names are important to the story, and characters who are just "that random bandit mook who surrendered and we brought them along" are not. If the character doesn't have a name when they hit 0hp, they die on the spot.
Oh, and fights take 10 minutes, rather than 2 hours - so you can have one in the middle of a session without it becoming the whole session. Yum.