Cool things to explore:
NetBeans / Eclipse - Learn one of these. You can turn yourself from a noob, to a power programmer. Both are *free* IDEs for Java. ( think, Visual Studio - but free. How cool's that? )
Java RMI (Remote Method Invocation) - This, is awesome. Seriously. RMI - you can wire up a "supercomputer" over a network. It's so cool ... that I can't even possibly do it justice. Just learn it.
Swing - Make GUI apps for Java. It's WAY easier than the Java AWT.
Java JDBC - ( Java Database Connectivity ). Want to make money programming Java? Here ya go. You can use the ODBC data sources and use the Java ODBC connector. It's (ODBC Data sources) built right into EVERY WINDOWS COPY - and is free. Create & play with your own MS Jet (Access) DB.
Definitely play with inheritance - customize & expand some of the default libraries into beasts of your own.
JSP/EJB ( Java Server Pages , Enterprise Java Beans ) - Get a spare computer, install Slackware/RedHat on it - and set up an Apache/Tomcat server - play to your heart's content.
Java MIDP - Embedded Java programming - like games & utilities on your phone. It sounds hard, but you'll be surprised. Embedded programming is killer - plus - you can show it off to your friends easy - and - there's that "whoa" factor to it too.
Look for files of yours to sort, set up your own tools to do the work for you, and start automating everything you can think of.
The possibilities are endless.

Once you break the mold of "what I'm doing is work" - it'll turn into fun & exploration. That's when it's not going to be a chore learning this stuff - you'll *enjoy* doing it. The more you know, the better stuff you can do.
[ NOTE : Some of the topics I've brought up are *advanced*. If you don't think you can handle it, OR, you're getting confused - it's best to take a step back, grab a good book - and strengthen yourself. Definitely DON'T just leave the subjects and never touch them again. Try again when you think you can handle it. ]
PLUS - don't rely ONLY on what you're learning in school/university.
If you want some killer Java books that will kick your skills up a few levels -
Core Java , Vol 1 & 2. Get the set. Vol 1 will make you a strong Java programmer. Vol 2 will turn you into a pro.
http://java.sun.com/developer/Books/javaprogramming/core_8th/