The Fuji Raw Converter included with the camera does a very good job, and is not as user-unfriendly as people make it out to be. In my tests (and for my kind of images), it is better than Lightroom especially with fine detail. It is also free. Lightroom does a pretty good job, and is certainly not a reason not to get the Fuji.
To get the best results out of the files, I export the images unsharpened and use Focus Magic for capture sharpening, and Topaz Detail for creative sharpening. I also do this with my Nikon files, and with any raw converter I use, so it is not a Fuji-specific workflow.