One thing that I love to do in Haskell, and which Haskell is especially suited to, is writing interpreters and parsers. The other week I wrote a brainfuck interpreter (https://github.com/imeckler/skellfuck) in a couple of hours. Parsec, along with monads and functors, make this kind of thing a real joy to write.
That still seems like something of a second order problem in that you're solving your own problem that you might need in order to solve a customer's problem.
