Hm. I don't really enjoy reading plays. Watching live performances (or films) I do enjoy. And he certainly had an impact on the English language as demonstrated by Kae (née Kate) Tempest: "My Shakespeare":

https://m.youtube.com/watch?v=i_auc2Z67OM

Ed: see also the "original pronunciation" movement - eg: https://youtu.be/qYiYd9RcK5M

Although if you've studied him at college level, hopefully you already know that Shakespeare can rhyme - despite modern pronunciation.