The ListView web part can show an ‘Add new Document’ link below it, as a summary toolbar.
Unfortunately a click on this takes you to an upload page, rather than creating a new document based on a template. Sometimes I’ve wanted to display a link that does something more link the ‘New’ menu on a list.
The Create New Document Web Part displays links that look like the ‘Add new Document’ link, but behave like clicking on the ‘New’ menu – opening a new file based on the content type.
You can select what document library and what content types you want to display links for in the web part’s edit pane:
And when combined with a ListView web part, it can do a pretty convincing job of looking like the ‘Add new Document’ link: