How to show all parents and subclasses of a class in IntelliJ IDEA?
Navigate | Type Hierarchy Ctrl+H will show similar information, however in the Panel. You can Float and Unpin the Panel so that it appears on the fixed display position only when you use the keyboard shortcut.
In terms of behavior the equivalent of Eclipse Ctrl+T in IntelliJ IDEA is Ctrl+Alt+B
Not an IntelliJ IDEA user, but this blog post seems to indicate that in version 8.1.1 and beyond Ctrl+Alt+U will display the "Quick Class Hierarchy".