Here’s another great article on Lifehacker dealing with great free applications for your computer. Enjoy!
Best 61 free apps
A sample of some of the apps that I use:

Firefox
CCleaner
Dropbox
OpenOffice
Google Chrome (Not my primary browser but still good)
Gmail
GIMP
Revo Uninstaller (Great App!)
Audacity
Skype
FileZilla
TrueCrypt (Great to keep laptop data safe)
KeePass
Opera (Liking this browser more and more. Runs great on Netbooks)
AVG – Good free anti-virus (I hate McAffee. Norton Internet 360 is good $50 a year)
MediaMonkey

Well that is a pretty list from the 61 that Lifehacker recommends.
From Lifehacker -
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Yes you should back up your data! Online backup tools are becoming more popular. While your initial backup may be slow (depending on your internet connection speed) future backups should be pretty fast. If you backup to a device at home and it gets stolen or destroyed what is the point? So backing up your most important files remotely is a really good idea.
Give this article from LifeHacker a read – Five Best Online Backup Tools
If you want to synchronize files between your home computer and a laptop DropBox is …