ShapeShift supports a number of assets, but there are some accessible on your Trezor, Leder, Portis and KeepKey that you may not be able to view using the New ShapeShift.
To view the available cryptoassets, connect your wallet and simply go to the Assets section on beta.shapeshift.com (menu on the left-hand side of the screen).
From here you can scroll to see all of the available assets.
If you would like to suggest additional coins for us to support, please do so here: https://shapeshift-io.hellonext.co/
If you are looking for the coins supported on ShapeShift.io, please see this article.