- Refreshing daily "points" in some mobile app (handling the clock running backward, network connectivity lapses, ...)
- Deciding whether to send an marketing e-mail (have you been unsubscribed, how recently did you send one, have you sent the same one, should you fail open or closed, is this person receptive to marketing, ...)
- How do you represent a person's name and transform it into the things your system needs (different name fields, capitalization rules, max characters, what it you try to put it on an envelope and it doesn't fit, ...)
- Authorization logic (it's not enough to "just use a framework" no matter your programming style; you'll still have important business logic about who can access what when and how the whole thing works together)
And so on. Everything you're doing is mapping inputs to outputs, and it's important that you at least get it kind of close to correct. Some people think functional programming helps with that.