Of course, you shouldn't be limited to just the Widgets that Wordpress ships with. There are all number of plugins that produce Widgets. If there's something you want in a Widget area that you're not sure how to add, just Google PROBLEM + Widget Plugin. Chances are you'll find one that you can use.

Simply copy the name of the Plugin into the Plugin Search field at Plugins >> Add New.

New Widgets are added to the 'Available Widgets' section to be used just like other widgets.

Hope this tutorial has helped you understand Widgets and how to make them your own!

P.S, to re-order widgets just drag up and down. Easy peasy!