But sometimes that's what you want. I think a good use case is view models... You're not mutating anything, but you have a large number of consumers that are using different subsets of views on a piece of data. Constructing those by hand can be a PITA.
Although, it's dangerous there. "Lots of views on a piece of data" might be a way of covering up "several disparate pieces of data in one place" or "data that is playing two roles when it should be transmuted instead". So, it's good to be afraid of new.
I am still frequently decomposing a single index of objects into separate indexes of literals fairly often. I often get sucked into thinking something is an object when it's really just a few separate pieces of data indexed together.
I also use new for libraries that export something that isn't exactly a function, but more a point of reference. For example my browser-bridge module is a point of reference for the computation between a web request and response. It's not really an action, but it's a thin representation over a handful of low level things you want to do in that space. It's purpose is to wrap up a set of concerns.
Essentially, OO is generally bad in JavaScript, but sometimes it's good and in those cases new is nice.