The promoted links app is a nice way to make links visually
appealing and display them as tiles on a SharePoint page.
You can add your own images to the tiles.
In this Links tutorial in the SharePoint Online from
Scratch series, Peter Kalmström, shows how to create
your own images for promoted links.
This is what Peter shows in the demo:
How to select an image from Google.
How to create an image using Paint.
How to create an image using PowerPoint.
In all three cases Peter shows how to make the pictures
150x150 pixels, which is the size needed for promoted links.