A recent Master's project from my school (UC Berkeley's School of
Information) will probably be very useful for some of you.
CourtListener, by 5:10p local Court time each day, can alert you to
all precedential Federal Appeals Court and Supreme Court opinions
issued that day that match a search you've specified:
http://courtlistener.com/about/
It has a pretty powerful search tool [1], that you can do very
sophisticated querying across the entire corpus, which includes the
Supreme Court and all Appeals courts (save the non-precedential
opinions for the D.C. Circuit) [2].
For a very simple example, for any case with the word "Hasen" in it:
http://courtlistener.com/search/results/?q=Hasen
(and if you're registered, you can save any query as an alert that
will let you know when something in the search results is added,
modified, etc.)
Mike (the student behind the craziness) will soon add audio capability
for oral arguments, where a Court provides them.
best, Joe
[1]: http://courtlistener.com/search/advanced-techniques/
[2]: http://courtlistener.com/coverage/