The Goodwill Community Foundation has a great website bursting with free computer literacy courses. The topics cover everything from the very basic "What is an operating system?" to Internet and e-mail skills, and tutorials on various office software programs, including Word 2010 and OpenOffice. Find this treasure trove at gcflearnfree.org.
The E-learning Center offers many paid courses, but also a generous selection of free online courses. They have training in JavaScript, A+ Certification, PHP, HTML and Excel, if a technical course is what you need for your job. Explore the offerings at e-learningcenter.com.
For no-frills, basic skills acquisition, go to The Connecticut Distance Learning Consortium's Basic Online Skills site. There you can work through four modules: Computer Skills, E-mail Skills, Word Processing Skills and Web Skills. They estimate each module should take an hour or less to complete. The pages are clean and simple, and the text is large, features which will be helpful to beginners and senior citizens wanting to get up to date. Find the site at ctdlc.org.