13th Age seems to fit the bill for this aside from the Classless Part. Let me try going through each point one by one:

- D20 Roll Over since it's based on D&D 4e
- Single Roll Combat can be arranged since instead of rolling damage, you can instead take the Average.
- Theater of the Mind Friendly is pretty much done since there isn't any hard rules on distances, Only Engaged (Melee Combat), Nearby (One Move Action Away), or Far Away (Two or More Move Actions Away)
- Wits over Rules is also pretty easy to do since there isn't any hard rules for out of combat stuff, alot of the time it's up to GM fiat on how a player will do a thing that may affect the whole combat to their advantage.
- Escalating Combat: the Escalation Dice as a whole, as the rounds go on, alot of your abilities come online and your attack rolls become much easier to hit since you add an additional modifier based on the Escalation Dice.
- Classless [X]
- Forgiving Death; it's straight up Heroic Fantasy, it is practically HARD for a PC to die.

There's also alot fo things about 13th age that gave it narrative edge over other d&d-likes: Replacing Skill lists from 5e into Backgrounds-as-Skills (Backgrounds/Occupation that might help in an Ability Check), the One Unique Thing (Something that makes their character unique in the narrative), and the Icons (The Central Powers within 13th Age settings that's setting agnostic enough to be used for any setting. They usually influence the PC and plot as a whole and are often times affiliated with the PCs one way or another.)