One simple option is github.
I use it a bit to share data and data analysis code. A few good examples of others sharing code and data on the site are listed on this question.
Benefits of github
- Easy to upload once you get familiar with git, and why not use git for your version control needs.
- You can use gists for simple single files
- It's easy for others to download single or multiple files as an archive
- It has a good amount of free storage
- source code can be browsed on the internet
- and more...
Of course, github isn't perfect for data. I can see the merits of using a more permanent institutional repository or some other dedicated tool for more serious archiving.