You're not alone, and there are
many genres that focus on that play style. They're mostly indie or small-studio titles, though, as AAA studios can't practically scale down their operations to suit that kind of thing.
By convention, they often adopt the "roguelite" tag in some way or another, to represent a that there's a divide between play session and some kind of long-term metaprogression that accumulates as you keep playing sessions.
Developers keep crossing that "roguelite" design model with every other type of genre you can imagine: dungeon crawlers, platformers, deck-builders, city builders, rpgs, pachinko, solitaire, tower defense, 4X strategy, poker, etc