The field of application for SPAs is VAST - and (thanks, perhaps, to an ongoing obsession with the fragmented, resource-starved visual poverty of the mobile web) miserably underexploited.
A single page application is a good choice where interactive graphics are generated server-side (typically from a simple and tiny JSON configuration file), but finely manipulated (through selections and transitions) in a web browser.
Applications built using modern data-driven libraries have access to class and id values across the entire graphical structure, allowing exceptionally fine-grain selections, which can be grouped according to user's needs. These are the basis for spectacular and visually liberating transformations.
For example, for timeline-based, event-driven applications, GUI events can be grouped according to whether dynamic (timeline-driven) or static (hover-over / property interrogation) mode, allowing -overall- a much greater event handling density.
Using modern programming techniques, literally thousands of model configuration variants can be derived from one generic tool visualization base. For application areas with many classification families, this implies many thousands of unique models, but also (often the only workable solution) open-source / community-driven provisioning.
Generated on the server and presented on the client in either SVG or WebGL forms, each and any of these can be instantly and automatically hooked up with the timeline, sharing consistency, styling and timing with all other animations.
Visualizations can be literal (structurally redundant or abstract, as with SVG) or figurative (ad-hoc, drama based as in WebGL).
A compelling aspect of domain-wide SPAs is their ability to act as an integration stack for (otherwise standalone) artificial and machine intelligence solutions.
They may also build on off-site synergies, such as timeline-synchronized video or the psychophysics of visual processing, adding other intriguing visual dimensions or feedback channels.
Configuration preferences can be aggregated to define menu preferences and indeed entire online environments, which in turn can be one-click shared with others, providing the basis for globally-available information exchange platforms.
The linchpin in all this? Intimate data/DOM bindings, a.k.a. 'ditch MVC'.
My feeling is that as mobile bottlenecks are eliminated, graphics-rich SPAs are set to be the next great driver of user expectations.
All that and not a single example? Clearly didn't read the question :-)