Yes, Alexa can be used for entertainment purposes such as playing sleep sounds and hosting live radio shows. It also has features like Alexa Hunches, where it can make suggestions based on your daily routines, and Alexa Voice Rings, where it can notify you when a family member is trying to contact you through a connected smart home device. Additionally, Alexa can play music and find movie and TV show information, making it a great source of entertainment.