This demo shows the kalmstrom.com solution Kanban Task Manager, but the principle is the same for all SharePoint lists.
When you want to share your kanban board in SharePoint with others in your organization, you can create an RSS feed for the task list. Peter Kalmstrom explains how to set it up with SharePoint and Outlook 2013. Also refer to http://www.kalmstrom.com/products/TaskManager/KTMSharePoint.htm