General:
* Friendship: a state of mutual affection between people.
* Relationship: a connection between two or more people, things, or ideas.
* Partnership: a formal agreement between two or more parties to work together.
* Leadership: the ability to guide or direct others.
* Citizenship: the status of being a citizen of a particular country.
* Membership: the state of belonging to a group or organization.
* Scholarship: financial aid given to a student to help pay for their education.
* Fellowship: a group of people who share common interests or goals.
* Ownership: the state of possessing something.
* Ditch: (archaic) a ditch (a long narrow trench)
More specific:
* Bardship: the state of being a bard (a poet, traditionally one reciting epics and associated with a particular oral tradition).
* Companionship: the state of being accompanied by someone.
* Hardship: a difficult or unpleasant situation.
* Wardship: the legal guardianship of a minor or incompetent person.
* Stewardship: the responsibility for managing or taking care of something.
* Statesmanship: skill in conducting state affairs.
* Kingship: the position of being a king.
* Lordship: the position of being a lord.
* Judgeship: the position of being a judge.
* Professorship: the position of being a professor.
This is just a small selection; many more nouns end in "-ship."