What kind of data lacks any relations whatsoever? Yes, there are cases where fitting data to the relational model is more awkward than others. But I would be really, really cautious about thinking that I could design on my own a data model that's better than the relational model. Relational databases are incredibly battle-tested across every type of data storage problem out there.
> What kind of data lacks any relations whatsoever?
You're right: all data has some kind of relation - when we say "non-relational data" we almost always really mean "loosely related." But some data is much more strongly related than others.Think of a traditional RDBMS application such as an ordering system where there are strong relational constraints that need to be enforced before committing your data: ie, your order items had damn well better correlate with an order, which damn well better correlate with a user, or else nothing makes sense -- you had better raise an exception and should definitely not store those things in your database if the relational integrity is not there.
Now constrast that with other types of data collection where relational integrity is much more relaxed.
Generally, these examples would be (near) real time data collection - times when you're collecting data with a "collect first, analyze/correlate later" mentality. Specific examples would be a service that aggregates logs from a server farm in real time, or things like tracking user behavior statistics on the web. Or even an onboard computer that collects data from a car's engine - you want to read that data every 50ms no matter what, and maaaaaybe you will correlate it with events (accidents? combustion issues? whatever) later on oooooorrrr maybe not.
But if you're running a website and you have fewer than 100 servers and you think you need to start rethinking the entire relational data model, you may very well be getting ahead of yourself.
There are some great content management tools out there, my favorite being apache jackrabbit, and on top of that, apache sling for displaying/accessing the content. It requires a different way of thinking than the standard mvc process - it is a more content focused display process.
I don't know... if you're using Postgres to store non-relational data you may want to reassess your strategy. You may find you're doing the right thing still, but I think most people would be better served with a system like jackrabbit/sling, which is is used by publishers, fashion houses, etc (via Adobe's product that is built on sling) to store and display their content.
(that said, you can use postgres on the back-end with sling)