Removed as the add-on is no longer available
To easily download someone's own albums, you will need Firefox and FacePad.
Try these instead in Chrome:
For your own photos, use Digi.me (previously SocialSafe).
To easily download someone's tagged photos, you will need Firefox, FlashGot, a website, http://myphotodownloader.com, and also a download manager such as Free Download Manager that will work with FlashGot. Note: this website only allows you to download tagged photos of your friends only.
You can download FlashGot from here:http://flashgot.net/
You can download Firefox from here: http://www.getfirefox.com
You can download Free Download Manager from here: http://www.freedownloadmanager.org/
Once FlashGot is installed, go to the MyPhotoDownloader website, login to Facebook, and it will take you back to the website. Then, type in the name of someone, and click the Tagged Photos button. This will give you a page with a link to every photo. Then all you have to do is right-click the page, and click FlashGot All (make sure you have disabled "Include images in this page", otherwise you'll end up with all the preview images too).
This will then send the links in a list over to Free Download Manager where it can begin download photo by photo.
And then you have photos! Enjoy :)