Now you can command "Alexa, Create a new playlist " or "Alexa, add this to my playlist" and Alexa will obey your orders.
Here is the know how ...
You need Amazon music, as Alexa recognizes only Amazon music.
Say "Alexa, create a new playlist" and Alexa will ask you to give the name of the playlist. Name the list. Now your playlist is created and ready.
Now you have to add the required songs to the playlists with commands "Alexa, add this song to the playlist".
You can even edit a playlist by taking the name of an already existing playlist.
As of now deleting a song from the playlist is still manual. You have to go to the Amazon music app or via the web and delete a song from the playlist.