I quite like the information side bar on the right hand side of the Civilization 6 game. You get a long queue of icons indicating some result/status/notification. You can hover the mouse over them or click on them to get more information. The icons will be gone in the next turn or later depending on how relevant they are to the current game play. They are for historic information and semi-transient.
re: civ6, ime there are persistent and 1-turn transient notifications. if you deal with something related to a persistent notification, the notification doesn't go away. meanwhile many of the 1-turn transient messages have relevance well past that one turn.
so yeah, I get what you're saying but it may not be the best example
Games can be the epitome of good UI feedback.