Save Screenshot++ автор WheelsPlusPlus

Based on Manuel Reimer's "Save Screenshot" extension, this extension provides some more automation features.

1. You can set URL or page content you would like to capture automatically based on JavaScript string match pattern syntax.
2. While the page content match rule can be comma delimited list of JavaScript string match patterns, save the picture into different directories based on which pattern you provided is matched.
3. Furthermore, it can close the Tab automatically after screenshot has been saved.

original description:

You can use it if your primarily work with screenshots in external image editing applications or you use the (unmodified) screenshot to archive pages.
Top features:
Full-page screenshots without scrolling. No duplicated headers all over the image!
Image formats: PNG, JPEG or lossless copy to clipboard
Capture regions: Full page, current viewport or selected region
Context menu in website and popup for the button freely configurable in the Add-on's settings. If you enable only one of the options for "Image format" and "Screenshot region" you can create a screenshot with just one click
Flexible shortcut support which allows to define up to 9 shortcuts for specific screenshot settings
Custom filename format possible
Metadata, like screenshot date/time, page title and page URL, are saved into the image as image comment (optional, can be disabled if you don't like it)

Please note:
For some pages like cup.aihedy.com and a few other Mozilla pages, it is impossible to take screenshots as addons are not allowed to run on these pages. If this happens, the addon will display a notification to you to tell you that creating a screenshot is not possible on this page.