I have tried to find them through Google but haven't had much luck. I know the number of 3rd party controls is not as big as .NET or Java, but surely there are some out there better than what comes with the library?
It's not exactly third party, but take a look at the Qt Solutions Catalog.
There's also wwWidgets, although I've never had cause to use anything it provides.
For a property editing widget, see this SO question.
I doubt you'll find a general purpose diagramming widget that works exactly the way you want it to. You're probably going to have to do some work yourself on this one. To get started, take a look at The Graphics View Framework.
Take another look at the lists of widgets and classes Qt provides. There's an awful lot there, and I rarely find Qt to be deficient. When I need something special, it's usually not too hard to build a custom widget that does what I need.
Look at the nice Qt Property Browser/Editor: http://doc.trolltech.com/solutions/4/qtpropertybrowser/index.html
Qwt is a source for graphing and technical components and Solutions Catalog has the property browser as well as many other useful widgets.
Also available are the Embedded Widget Demos, ofi-labs, and qt-labs.
ofi-labs is by a former Qt employee, the others are official.
Edit: Almost forgot, diagramming is covered by this example: GraphicsView - Diagram Scene
If you are considering commercial components for Qt i advise you to look at this page - www.devmachines.com.