From a_gentlebot on reddit:
https://opengameart.org/content/chess-pieces-and-board-squares
The license is the same as Cburnett (I would've made it CC0 but the previous Cburnett license restricted me) I improved the knight (more horsey, less puppety) along with other things that were driving me 'visually' crazy. Here's a quick example of how it looks: http://i.imgur.com/he7hUsG.png
Shadows are optional, I included both types of graphics.
Team comments:
Hi! I'm a_gentlebot, pawns and queens don't look centered in the imgur pic because I just dropped them there haphazardly in Illustrator :P The SVGs included should look just fine in the app/web (perhaps the ones with a shadow will align themselves a bit to the left, otherwise the shadowless pieces should be perfectly centered) You're free to use whichever you like best, perhaps the shadowless ones won't collide as much with lichess's aesthetic. I uploaded a ZIP with only the SVG files here.
Edit: The newest SVG version is available at the bottom of this thread.
I also improved the king's cross, it should look like this now:

@JohnPablok i like the piece graphics. Maybe the knight can be slightly improved.
How do lichess stand when it comes to of fairy pieces and possible variants.
As discussed on CuteChess github page.
https://github.com/cutechess/cutechess/pull/257
Many fairy piece graphics can be found on this website, which suits cburnett theme http://zoldsakk.hu/en/info.php?item=images
@Nordlandia thanks! I'll see if I can improve it. Just to drive the point home I made a comparison between the old Cburnett and my knight modification :) I tried to stay close to the original

Edit: I modified a bit of the knight's ears, in case people like it better. Not a final change (not in the files I uploaded here)

Ok, hopefully this is the last revision, a ZIP with all the SVGs.
That looks like this:

and pieces only:

And link to opengameart.org with license:
https://opengameart.org/content/chess-pieces-and-board-squares
The symbol for King look awesome.
Please add this new piece set soon :-)
Any future updates to this chess set will be available here: https://opengameart.org/content/chess-pieces-and-board-squares 馃槂
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Ok, hopefully this is the last revision, a ZIP with all the SVGs.
Cburnett V2 improved.zip
That looks like this:
and pieces only:
And link to opengameart.org with license:
https://opengameart.org/content/chess-pieces-and-board-squares