IntelliJ IDEA does not have an action to add imports. Rather it has the ability to do such as you type. If you enable the "Add unambiguous imports on the fly" in Settings > Editor > General > Auto Import, IntelliJ IDEA will add them as you type without the need for any shortcuts. You can also add classes and packages to exclude from auto importing to make a class you use heavily, that clashes with other classes of the same name, unambiguous.
For classes that are ambiguous (or is you prefer to have the "Add unambiguous imports on the fly" option turned off), just type the name of the class (just the name is OK, no need to fully qualify). Use code completion and select the particular class you want:
Notice the fully qualified names to the right. When I select the one I want and hit enter, IDEA will automatically add the import statement. This works the same if I was typing the name of a constructor. For static methods, you can even just keep typing the method you want. In the following screenshot, no "StringUtils" class is imported yet.
Alternatively, type the class name and then hit Alt+Enter or ?+Enter to "Show intention actions and quick-fixes" and then select the import option.
Although I've never used it, I think the Eclipse Code Formatter third party plug-in will do what you want. It lists "emulates Eclipse's imports optimizing" as a feature. See its instructions for more information. But in the end, I suspect you'll find the built in IDEA features work fine once you get use to their paradigm. In general, IDEA uses a "develop by intentions" concept. So rather than interrupting my development work to add an import statement, I just type the class I want (my intention) and IDEA automatically adds the import statement for the class for me.