Abivia's Multi-Twitter module lets you construct complex twitter searches, filter and edit the results, and display them the way you want. Multi-Twitter can perform multiple searches then merge the results into a single feed.
Other Twitter modules simply help you build a search query. Multi-Twitter doesn't. We let you use Twitter search syntax and add value by handling the search results in an intelligent manner.
NOTE: The Joomla 1.5 version of this module requires our (free) JTML plugin to be installed as well.
Full release history and parameter documentation is available on the extension page.
Wish list: Twitter Account kill list (to curb spam), include the "- (search term)" documentation for open searches in the XML file so it pops up in the administration menu. Those are very minor quibbles. This is a solid, elegantly coded module.