It's indeed very mechanical and some programming languages can do it for you.

I think you're mainly asking for heap-allocated stacks. Some languages always use the heap for stack frames instead of the native stack and can set the stack limit as high as there's memory available.

You might also want to look into stackful coroutines, which allow one to pause the execution of a recursive function and switch to another function. This can provide you with multiple call stacks, which is another reason people sometimes choose to use write explicit stacks.