For the latter, there's MoneyAisle, a marketplace for loans and mortgages. Users set their desired loan amount
and term and jump into the pool--where banks are searching for the right person to lend to.
Charles Knight points to a number of other services that focus on the "searched" as opposed to the searcher. Signing up on a site like Classmates.com, for example, allows a user to find (and be found by) their high school friends. Shopping search also seems like a logical match for the reverse search process.