I need recommendations for a web host with a small hosting package, below $20/year, with at least 50MB webspace, 500MB traffic, 5 add-on domains, and with email support. Thank you, and Happy New Year!

You may want to browse the Web Hosting Offers thread. Your requirements aren't outrageous and many hosts will be able to accomodate you.

Remember to research any potential hosts.

5 addon domain are difficult to find with this price quote

That's a pretty low price... .I would expect to pay at least $3 a month for quality web-hosting. Check the offers section, browse the hosting directories, and search here for reviews. I would definitely test out support prior to signing up for a year. Best of luck.

Found you one for $18 a year: http://webhostingtalk.com/showthread.php?t=473902

I am in no way affiliated with the above company, use at your own risk.