This website has some examples of Flash usage in financial area, Flash is capable to communicate with backend server, it is a good use for exchange data (e.g. stock information) in the website without whole webpage refreshing.
Here is another example using Flash to present stock rate:
Australia Vote Federal Election
Flash Application example in Geographic Information System (GIS). The application is used for viewing the election result in different region.
Flash is a vector format graphic, it is suitable for presenting scaleable map data.
Here is another example: US President Vote Result Map, C-Span 2004 General Election Results. Most election related example is here.
Google News Map
Newsmap is an application that visually reflects the constantly changing landscape of the Google News. A treemap visualization algorithm helps display the enormous amount of information gathered by the aggregator. Treemaps are traditionally space-constrained visualizations of information.
Here is another example: 10x10, record worldwide news in 100 terms.
Another GIS example, user can find restaurant nearby and see other people comment for a restaurant. Flash can show dynamic data and image without refreshing a page, provide better user experience.
Men's Non-no Map Tokyo
Another GIS example
Canon PowerComparision Tools
For service/product comparison, Flash can provide a real time response to the visitor, we can use this idea apply on our mobile charge fee table.
Combined with Flash Communication Server, Flash can develop web Chat, multi-user video conferencing, social networking related application,
Major League Baseball
Using Flash to present match result, player’s performance information
Amazon book search result, the related books are connected together.
A nice Flash analog clock.
Kevin Lynch, Rich Internet Applications: It's Happening!