Oh boy... there are hundreds of sock patterns and everyone has their own idea about what is cute. Top down and toe up, different kinds of heels, etc. The simplest ones are the plain stockinette of course. The best thing to do is search on Ravelry. It's a free site and simply awesome for finding patterns. Then come back here and join us.
Here's a few though to get you started -
http://www.ravelry.com/patterns/library/easygoing
http://www.ravelry.com/patterns/libr...-the-zag-socks
http://www.ravelry.com/patterns/libr...ux-cable-socks