'Unsighted' and 'blind' mean exactly the same thing. The only difference is that you almost never see 'unsighted' used.
'Visually impaired' is not necessarily blind. It refers to any eyesight where the person has trouble doing everyday tasks. It could be fuzzy vision, vision where part of the field of vision is blocked, etc. It does not refer to somebody, say, who has to wear reading glasses. If I wear the glasses, I can do anything a person with perfect vision can do, therefore, my freedom and ability to do normal things is not diminished.