"Menu token" module is currently known to be installed in more than 7k sites, and growing fast! it provides tokens that could be used in title or in path of menu items (links). For example, if you create a menu item with path: "user/[current-user:uid]", the url will be changed "on fly" to: "user/1" (assuming you are user 1).

Since Tokens are provided by Token module, it allows to use both global and entity tokens: node, user, term, etc. Entity tokens have following methods of substitution: context, random and user defined. It allows to build custom menu blocks that grab tokens from the different entities loaded in a given page view.