Two- and three-year-olds are at an age where they are starting to explore and discover the world around them. They are also starting to develop their own interests and preferences. When it comes to play, there are many different things that two- and three-year-olds may enjoy. Some common examples include playing with dolls or other toys that represent people or animals, playing with balls or other objects that can be thrown or rolled, and playing with blocks or other simple construction toys. Ultimately, the best way to figure out what a particular two- or three-year-old likes to play with is to simply ask them or observe them during playtime.