First of all, I have to admit that I am a big fan of jQuery and I hate Flash. However, if you're obligated to use Flash for a project, you need a way to talk with Flash which is usually an XML file.
Below, you can find the template code for creating category archive listing templates that generates an XML file along which has all the subcategories, entries and assets.
The publish path can be set to "%c-/entries.xml"
<category>
<label><mt:CategoryLabel encode_xml="1"></label>
<id><mt:CategoryID encode_xml="1"></id>
<mt:Entries>
<entry>
<entrytitle><mt:EntryTitle encode_xml="1"></entrytitle>
<entryid><mt:EntryID encode_xml="1"></entryid>
<entryurl><mt:EntryPermalink encode_xml="1"></entryurl>
<entrytags><mt:EntryTags glue=", "><mt:TagName encode_xml="1"></mt:EntryTags></entrytags>
<entrydate><mt:EntryDate encode_xml="1"></entrydate>
<entryexcerpt><mt:EntryExcerpt encode_xml="1"></entryexcerpt>
<entrybody><mt:EntryBody encode_xml="1"></entrybody>
<assets>
<mt:EntryAssets>
<asset>
<id><mt:AssetID encode_xml="1"></id>
<type><mt:AssetType encode_xml="1"></type>
<url><mt:AssetURL encode_xml="1"></url>
<filename><mt:AssetFileName encode_xml="1"></filename>
<filepath><mt:AssetFilePath encode_xml="1"></filepath>
<tags><mt:AssetTags glue=", "><mt:TagName encode_xml="1"></mt:AssetTags></tags>
</asset>
</mt:EntryAssets>
</assets>
</entry>
</mt:Entries>
</category>


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