Mischa holds a Masters by Research degree from the University of Melbourne, with the project "Writing Dialogue: Stance, Space and Emotion" (2018), and his practice-led research incorporates dance, linguistics and screen writing. Mischa holds an undergraduate degree and honours from the Victorian College of the Arts film school where his graduate film Last Beautiful Friend (2009, 25 mins) was awarded Most Daring and Innovative Production, Best Achievement in Editing and Best Achievement in Sound.

The film was nominated for an Australian Directors Guild Award in 2010. In 2011 Mischa attended the Clermont Ferrand International Short Film Festival where Last Beautiful Friend screened as part of the international program.

Mischa was an editor of Tau Seru, a short film that premiered at Cannes Critics Week in 2013, which was winner of Best Australian Short Film at the 2013 Melbourne International Short Film Festival.

Mischa Baka is a producer of Yogini Melbourne, a popular Yoga YouTube channel. Mischa Baka’s work has included Dance and Film Work at the 2014 and 2015 Underbelly Arts Festival, Cockatoo Island. Fine art exhibitions include To boldly go where everyone has gone before, 2009, at Blindside, Melbourne. Dance work includes the video aspects of 10,000 Small Deaths at Dance Massive, Melbourne, 2015, and collaborations with Fling Physical Theatre, Stompin and Tracks Dance Company with a community focus. 

 In 2018, Mischa co-directed (with Siobhan Jackson) his debut feature film, You Can Say Vagina (2018, 70 mins). Mischa and Siobhan are currently in post-production on their 2nd feature, Saltbush.