After mastering the basic commands like Sit, Stay, Come, Heel, and Lay Down, it's beneficial to expand your puppy's training to include more complex instructions that enhance both mental stimulation and practical skills. Teaching commands such as Drop It, Leave It, and Fetch can be very useful for managing your puppy's behavior in various situations. Additionally, introducing commands that improve social interaction, like Greet (to meet people politely) and Quiet (to stop barking), will further aid in developing a well-rounded, obedient dog.