Hi — I run EasyHub, a portal that aggregates HTML5 / Unity WebGL browser games (we didn’t make the individual titles; the site is ad-supported). Listings are non-exclusive.
One that’s closer to a light persistent loop than a one-shot: a hotel-management game you can open in the browser:
https://easyhub.games/en/games/pk-my-perfect-hotel
I know this community is more PBBG/MMO than casual HTML5. If that’s the wrong room, say so and I’ll leave it. If anyone has a WebGL game they’d like listed, non-exclusive is fine.