If you want to try out the new face of Yahoo's mail, read this guide
There are two ways to get the new Yahoo Beta.
New accounts:
Existing accounts:
To get Yahoo Mail Beta, just switch your content preference to Germany, France or UK. Then you will be asked if you want to join the beta when you log into your Yahoo Mail. Say yes, and join the beta. Then from the options menu, change your content preference what it was before. Then go to Yahoo Mail again. You should see Yahoo Beta. If you don't see it, go to options and click "Try Beta" button. That's all.
How to change your content preference: