How to navigate to a Type in IntelliJ? or what is the equivalent to Eclipse's Ctrl + Shift + T?

CTRL+N is the shortcut you're looking for.

After you hit it, dialog will be shown where you can search through project types, hit that shortcut again and it will include non-project types (dependencies). There is also checkbox for that in the dialog.

The documentation, which includes some tips and tricks for this feature is available here.

Other alternative is the search everywhere dialog (SHIFT+SHIFT). You can search through classes, commands, and a lot of other stuff in this dialog.

The shortcut is: CTRL+N (similar to Eclipse CTRL+SHIFT+T)
For just any file it is: CTRL+SHIFT+N (similar to Eclipse CTRL+SHIFT+R)