what is one (or more) good, real-world examples for creating such 'static members'?
There are some good examples in the language itself. For example (there are a lot more than these two as well):
Array.isArray([]); // true
Object.keys(someObj); // Returns array of key identifiers
Static properties are useful for providing functionality associated with a "type" (array or object in the examples above) that doesn't depend on an instance.