To find out the possible new friends based on them liking similar things as the asking person, use a query like this:
Query.
START me=node:node_auto_index(name = "Joe") MATCH me-[:favorite]->stuff<-[:favorite]-person WHERE NOT(me-[:friend]-person) RETURN person.name, count(stuff) ORDER BY count(stuff) DESC
The list of possible friends ranked by them liking similar stuff that are not yet friends is returned.
Try this query live. (1) {"name":"Sara"} (2) {"name":"Cats"} (3) {"name":"Derrick"} (4) {"name":"Bikes"} (5) {"name":"Jill"} (6) {"name":"Joe"} (1)-[:favorite]->(2) {} (1)-[:favorite]->(4) {} (3)-[:favorite]->(2) {} (3)-[:favorite]->(4) {} (5)-[:favorite]->(4) {} (6)-[:favorite]->(2) {} (6)-[:favorite]->(4) {} (6)-[:friend]->(1) {} START me=node:node_auto_index(name = "Joe") MATCH me-[:favorite]->stuff<-[:favorite]-person WHERE NOT(me-[:friend]-person) RETURN person.name, count(stuff) ORDER BY count(stuff) DESC