Playhouse Disney was a children's television channel owned by Disney that aired programming aimed at preschool-aged children. It featured a variety of shows, including animated and live-action series, as well as educational programming. However, it was rebranded as Disney Junior in 2011.
The font utilized for creating the Playhouse logo is called Jacoby Black, which belongs to the display sans-serif category and was designed by Calvin Glenn and released by Image Club. You can learn more about the font family here.