Can anyone give me an idea how this fits with or differ from mission statement/value prop? Is it suppose to be more concrete than mission statement? Do company need both?
The Value Prop is the "problem" you are solving - jobs to be done helps you find the problem. The Value Prop is really the problem as described by your customers using their language.
IMO mission statements are for your employees - same with vision - and your overall brand. Value Props/Jobs you help customers accomplish are what you build your features around.