You could use RuntimeException as a superclass for your exceptions, or wrap checked exceptions in a RuntimeException. I'll often rethrow exceptions this way when I have to deal with something horribly wrong (like I/O or UI meltdown, etc.) in a place where I have to deal with the checked exception.. This is handled gracefully in the Eclipse workbench as a popup though, YMMV.

I would only recommend this as a last ditch effort to appease the Java compiler though, not an acceptable way to handle a common failure mode.

As a side note, does anyone else find the pattern (well, I would say headache) of dealing with checked exceptions similar to working with the IO monad in Haskell?