Non-domination is not the only demand of relational equality. This chapter rejects two important attempts to make sense of demands for other kinds of egalitarian relations, based on the goods of community, friendship, trust, and self-respect. The first is a pluralist, free-standing approach, according to which social equality goes beyond, and sometimes conflicts with, social justice. This approach either leads to egalitarian perfectionism, which should worry liberals, or fails to yield a mandate to shape society according to its demands. The second approach extends distributive theories of equality by incorporating fair shares of the various goods at stake in egalitarian relations. The chapter shows how resulting variants of relation-sensitive distributivism either fail to capture what is distinctive about relational goods, or to yield recognizably egalitarian demands. This result confirms the case for the liberal approach, while underscoring the need to extend it to matters of social status and self-respect.