This will be a quick post on a basic vue list example. When working with unordered or ordered list elements in a template, typically I will end up using the vue for directive to bind to an array in the vue data object.
So here is the basic copy and past vue list example that I put together for this post. The only fix you might have to do is the link to vuejs as needed. The basic process is to start out with a vue instance by calling the main vue constructor with the new keyword, and then pass an options object. In that options object I am using the vue el directive to mount to a div element in my html, I have a template, data object, and methods object also.
In the template I have a div as a root element because I must have one for a vue template, I then have an text input element and a a button type input element that when clicked will add a new list item with a message value given in the text input element. I then have a ul element and I am using the vue for directive to create li elements for each element in the items array.
There is then the methods object where I have a push new method that is called by the button that creates new items in the items array of the data object that is also used to create the list in the template. There is also a delete item method that will be called by a delete item button for each list item when clicked, it will of course delete the item.