title_body: Which categories of inalienable possession have conlangs expressed?
upvoted_answer: Lojban differentiates between inalienable possession, alienable possession, and association: po'e, po, pe. But Lojban does so because its design aspired to typological completeness: it's followed the textbooks in its differentiation between alienable and inalienable possession. See http://www.lojban.org/static/publications/refgram_chunked/cllc/8/3/
  
  
    "Something is intrinsically (or inalienably) possessed by someone if the possession is part of the possessor, and cannot be changed without changing the possessor. In the case of Example 3.5, people are usually taken to intrinsically possess their arms: even if an arm is cut off, it remains the arm of that person." 
  
  
  So (2) physical parts. (Lojban deals with (1) as a predicate relation, not a possession.) Not (4), as far as I know. Logically (3) kinship bonds should be inalienable as well, but those too are represented in Lojban as predicate relations. (In fact the expression of relations between entities through overt predicates diminishes the role of possessives in Lojban overall.)