Here are a few contests that are happening around the web right now. I am probably missing quite a bit, but these are the ones I have found so far. Most can be entered once per day. They should not require any type of share/tweet but may require an application installation and a "Like" on the page. Good Luck!!
L'Oreal "Never Fake it Again" http://www.facebook.com/lorealparis
Lee Jeans http://www.facebook.com/leejeans?sk=app_170740156314868
Little Debbie (Until Dec. 30) http://www.facebook.com/LittleDebbie?sk=app_212112032190740
Red Vines http://www.facebook.com/RedVines?sk=app_270009533032927
Super 8 http://pettysgarage.com/b4s8/
Luvs Diapers http://www.facebook.com/luvsdiapers?sk=app_216159105112735
I will add more as I come across them. Make sure to check my Facebook and twitter posts for any other online perks I find!