With in the project management career path, one can pursue Senior PM, Program Manager, Portfolio Manager.
An alternate career path can be also managing larger and more complex projects. This is also a good career path. We cannot compare the Project Manager skills needed for a project for organizing an event and a project for design and manufacturing a new train. Totally different skills needed, and I am talking about soft skills here.
As for requirements for technical skills or any other specific skills besides PM skills, no harm, they can only be an advantage to the PM skills.