if you're on OSX, the free vlc plays more formats than anything else I've found (you might have to use its File->Open rather than drag-n-drop or doubleclick, though). Here's the link: http://www.videolan.org/vlc/

I can't understand why you can't find the Limewire home page if you found this site. Oh well, here's a link http://www.limewire.com/index.jsp/download
(Once you get to that page, there's a button to try the new beta version too. Actually, it's still being called an alpha because of so many great changes--but caution: alphas are risky!)

I've never seen a "Burn" feature in LimeWire, but iTunes' burn button works great.