There are many different ways and tools for saving Flash directly from a web browser. I picked up the easiest ones to share with you. Let geeks search caches for the needed files, we have much simpler ways:
How to Save Flash in Firefox
1. Download Sothink SWF Catcher for Firefox and open the file. This is .xpi file (Firefox extension) and Firefox will offer you to install the add-on. Add SWF Catcher button to the toolbar (right-click toolbar > Customize > Drag and drop needed button). Click the button and you'll see all available flash files in a sidebar. Right-click file name in the list for options.
2. Right-click any web page. Click View Page info, go to Media tab and find needed file in a media list (Flash files have Embed type). Select your file and click Save As.
How to Save Flash in Internet Explorer
1. Use Sothink SWF Catcher for IE. The difference between versions for Firefox and Internet Explorer is that IE version is an installator, not add-on. But the installation process is easy and quick. The same as for Firefox, you can use toolbar button or open SWF Catcher from right-click context menu. In IE you'll see a list of files in Save window, not in a sidebar.
2. Use Flash Saving Plugin for Internet Explorer. Download and install the plugin. It will add to your IE toolbar the button which displays the names of all Flash movies that are loaded on the current web page. Click a name and the corresponding Flash movie is saved to the folder specified.
P.S. Also, you can download Flashget download manager and use its own browser to look for swf files and save them.
The easiest ways to save Flash files from websites
Links of the month (April 2009)

The most interesting Flash things I've met this month:
1. Exposing Flash Application Vulnerabilities with SWFScan - "HP SWFScan is a free Windows-based security tool to help developers find and fix security vulnerabilities in applications developed with the Adobe Flash Platform".
2. Actionscript 3.0 Client for the Facebook Platform API - "the new ActionScript 3.0 Client Library for Facebook Platform API, fully supported by Facebook and Adobe, makes it easy to build applications that combine the strengths of the Flash Platform and Facebook Platform".
3. New video tutorial on using SWFAddress - "a new tutorial that shows you how to enable direct and deep linking using the SWFAddress library. Deep linking is just another name for making the back button work".
4. Google Analytics + Flash = Easy Peasy… - "quick simple code for implementing Google Analytics system into flash projects. Using their ga.js code."
5. Free Flash Intros - nice collection of absolutely free downloadable Flash intros. Each Flash intro comes with a simple text file in which you type your own text and URLs to customize intros.
Enjoy!
Adobe Media Player 1.5 is available

Adobe Inc. released Adobe Media Player 1.5 - a cross-platform desktop application designed to play back streamed or downloaded FLV or MPEG-4 video content online or offline. Adobe Media Player offers new great features both for viewers and content publishers. Viewers will enjoy enhanced features for discovering, subscribing and sharing video content, notification and video management features. Content publishers will appreciate improved publishing, validation and reporting tools, enhanced content protection etc. Also, Adobe Media Player 1.5 allows playing SWF files from a hard drive without opening browser and in a full-screen mode. Adobe Media Player is completely free to download and is available for both Windows and Mac platforms.
