The Story Board provides a higher level view of the plan than the Task Board. You can easily view and plan on the story level without having to look at the more detailed view of the subtasks.
Stories in the backlog will always be visible to you in the first column, named “Backlog Stories”, so you can easily take a story out of the backlog and schedule it in a sprint.
Please refer to the"Editing Stories and Tasks" section in the Planning Boards page.
You can drag and drop stories within the same column to set their ranks.

For each story that has subtasks, a progress bar is shown on the story card, giving you more information about your progress without leaving the Story Board.
Story Board supports Kanban development and allows you to set sub-status for stories. For more information, please see “Set Column Status in Story Board” section in Using Kanban in the Task Based Planner.