To find out the possible new friends based on them liking similar things as the asking person:

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.