The list of actions that happen during a turn is quite cluttered and hardly worth looking as the millions of setences fly by the screen I'm not saying we should get rid of such a feature but How about color coding them as well as making a menu to where we can view the important ones such as the cash register and such we could click the menu open every once in a while and view what ones were important to us I don't think there is a way to make it uncluttered because there is just too much going on in a turn to do so. But a menu that lists of these can be very useful of course only certain ones would be included recent like up to 5 turns or so and in game actions that you may have not been aware of such as the cash register example.
Or make the random ones like cash register appear above the hero instead as they do tend to get lost whereas a message in the heroes head (pun intended) would get noticed