There are some that people already think about doing on the edge, like complex caching rules, routing based on cookies, and edge side includes.
Then there are things people are just starting to think about, like doing a/b testing by serving different variants from the edge and building their API gateway into the edge.
Finally there are things people will only start dreaming of now that the tech is available, like filtering the massive stream of data coming in from IoT at the edge, or powering interactive experiences that require compute which individual machines don't have, but speed which centralization can't provide.