Wordpress theme switcher per page / post

I want to have a single theme. Inside this theme, I want to have a lot of PHP files, and on each page/post i want to choose which PHP file will be my template.

So when I am editing a post/page, I want to choose the template (php file) from a combobox.

Can you recommend on such plugin to support this?

(I have WPML installed with advanced custom fields which I want to support)

Thanks