I think the question is highly subjective and specifically relative to the segments of intestines known to have inflammation. Someone with severely strictured areas will have a much more limited range of "crohns pain free foods", for instance. The less sugar or hydrogenated oils or processed foods, the better. For those with very little inflammation/strictures, prebiotic fiber is a very good thing which wards off future problems by contributing to healthy probiotic populations and clearing out any stuck or putrifying fecal materials, in my opinion.
Generally, I think high protein foods (but not red meat) like baked/grilled chicken, eggs, and nut butters are tolerable from what I hear. I think 100% vege/fruit mixed juices are good, like carrot juice. For some people, milk and/or wheat gluten cause problems due to intolerances/malabsorption. From there, many people say bland things like rice or sweet potatoes or squash may be good. Others with similar known diseased segments of intestines are the ones to ask, perhaps?