Nice idea, graphics and easter egg. Unfortunately interaction is buggy enough to take away most of the fun.

If you've run this and it's worked,
can you comment on what system you used? I'm beginning to worry...

There's a lot of problems trying to execute it, instructions on how to run or a small little one line launcher script would be nice too. (your game requires you setting -Djava.library.path=./ on the command line, i found that in the faqs in lwjgl's site), the full command line I finally had to use to execute was "java -Djava.library.path=./ -jar LeaveMeAlone.jar"

After I got past that, it crashes when loading files, your code is looking for textbox.png but in the art folder you named it TextBox.png, renamed the file to get past this.

Once it was running, the graphics and all were good, but the dialog tended to skip to the end from one keypress, and it was hard to walk around (also, even after people left, there was an invisble wall where they were standing) I tried to get through as much as I could but the bugs just make it impossible to play.

Thanks to Raptor85 I get this far:

$ java -Djava.library.path=./ -jar LeaveMeAlone.jar
Exception in thread "main" java.lang.UnsatisfiedLinkError: /tmp/LeaveMeAlone/LeaveMeAlone/liblwjgl.so: /tmp/LeaveMeAlone/LeaveMeAlone/liblwjgl.so: wrong ELF class: ELFCLASS32 (Possible cause: architecture word width mismatch)
at java.lang.ClassLoader$NativeLibrary.load(Native Method)
at java.lang.ClassLoader.loadLibrary0(ClassLoader.java:1928)
at java.lang.ClassLoader.loadLibrary(ClassLoader.java:1854)
at java.lang.Runtime.loadLibrary0(Runtime.java:845)
at java.lang.System.loadLibrary(System.java:1084)
at org.lwjgl.Sys$1.run(Sys.java:75)
at java.security.AccessController.doPrivileged(Native Method)
at org.lwjgl.Sys.doLoadLibrary(Sys.java:68)
at org.lwjgl.Sys.loadLibrary(Sys.java:84)
at org.lwjgl.Sys.<clinit>(Sys.java:101)
at org.lwjgl.opengl.Display.<clinit>(Display.java:128)
at org.newdawn.slick.AppGameContainer$1.run(AppGameContainer.java:39)
at java.security.AccessController.doPrivileged(Native Method)
at org.newdawn.slick.AppGameContainer.<clinit>(AppGameContainer.java:36)
at LeaveMeAlone.main(LeaveMeAlone.java:235)

The execution problems SHOULD be gone now, I've changed the code so it now adds the folder to the class path within the startup... Thanks Raptor85.
Urfoex as far as I can tell that's a problem in Slick2D (though I'm happy to be corrected)

I liked the graphics and the text, but couldn't get very far into the game because the fat bastard wouldn't fit in the corridor to the left from the first room. Any reason not to make it a bit bigger?

Well, at least I found the easter egg :-)

The corridor to the left isn't really a corridor at all, I was going to make the guests leave through it but then that didn't happen. Looked weird when I closed it off though so I left it in...