I am not a professional gamer nor do I have much time to invest into a game in one stretch. However I do enjoy the cumulative progress I make with each session I have with the games, specifically progress of acquiring loot, money, powers or in-game materials. Are there any games that try to match my interests?
An example of such games would be Papa Louie’s food games. Though these are very simplistic and made for kids, their per-day game sessions (which last about 10 minutes) perfectly fit the idea of the type of game I am looking for. (I could have come up with a more appropriate or mature example, but that is exactly the point why I am looking for similar games.)
I have looked into the genre of roguelikes, however the basic premise of these games are that they start all over again from each session, which is what I am trying to avoid.
I can play on PC (controller included) and mobile. Apart from this, I would really appreciate if the game is under 10GB, single-player and is just easy in general to understand and play.
You might want to look specifically at rogue ‘lites’ which tend to have some form of upgrade system outside of the main gameplay loop. In Hades for example, you pick up certain items during a run which you can use to upgrade your character after you die. Other ones that spring to mind are Dead Cells, Slay the Spire, Monster Train and Rogue Legacy. All of these have generally quite short sessions and each run lets you improve your character for subsequent runs.