RethinkDB is my default at this point. Relational documents provide 99.9% of the features I need. When I need actual graph data, I play around with ArangoDB.
The admin UX... setting up a redundant sharded cluster with auto-failover in RethinkDB is in the box, straight forward and easy. With PostgreSQL you're stuck choosing between at least a half dozen less than optimal solutions.
That would be the single biggest difference... Neither have particularly great DBAAS offerings, outside of RDS Postgres, though if you're on Amazon, you can use Compose.io's rethinkdb option there too.
RethinkDB has sharding + redundancy similar to ElasticSearch or Cassandra, while having some other features that put it more in line with an SQL rdbms, while having an administrative UI that's second to none.. and I mean none.
Combine the best ideas from a relational database, a document store, sprinkle in some realtime change feeds, and an awesome admin interface. About all I need for a modern web application.
RethinkDB is also my default at this point, their scaling features are great. But they have several major unresolved issues, check their issue tracker on github for reference.