Short answers, pulled from the story.
Media Molecule was officially incorporated on the 4th of January 2006. This incorporation followed a successful pitch to Sony Computer Entertainment in January 2006 and preceded the team's move into a studio in Guildford, Surrey by March 2006.
Media Molecule released LittleBigPlanet between the 27th of October 2008 and the 5th of November 2008 across different regions. The game won over 90 awards including the Award for Artistic Achievement at the 5th British Academy Video Games Awards and sold 8.5 million units across three games.
Media Molecule was founded by Mark Healey, Alex Evans, David Smith, and Kareem Ettouney who left Lionhead Studios in December 2005. These four former employees had spent years building a reputation for physics-based creativity before forming their own company.
Media Molecule released Dreams in February 2020 after making it available via early access in April 2019. The studio announced in April 2023 that it would stop supporting Dreams in September of the same year.
Media Molecule decided to step away from the LittleBigPlanet series in July 2011 to focus on new and innovative game ideas. Mark Healey described the decision as akin to a child wanting to leave home and noted that the character needed to grow up without their direct supervision.