The most recent site I have been using to find patterns is ravelry.com as there is a huge range of patterns and other knitters that range from the simple and quick, to the complicated and, for me anyways, utterly terrifying. I also receive a daily email from allfreeknitting.com, with a selection of new and popular patterns.
So my most recent finished knit, was a scarf pattern from a Raveler called Turvid. It's called the One Row Lace Scarf, and was super simple and quick to complete. I used Stylecraft Twilight DK yarn, in Ruby, and 5.5mm needles.
Once it was finished I linked the ends with a twist, and because it's nice and stretchy, it is currently being used as a neck warmer!
My current pattern is by Raveler PurlSoho, called the Summer Shimmer Scarf, again, it's fairly simple (although I did have a few false starts to begin with), and hopefully will be finished soon.