For those unfamiliar with 60 seconds, you basically manage a group of characters as they try to survive some doomsday event. The gameplay I'm after is more along the lines of just clicking what actions a character will do throughout the day, and then the player just watches how things play out. 69 Days After is a good example of the sort of thing I'm looking for. I haven't really found anything else like it. Would love to learn if there's more like it!