Fishbach holds a degree from Kenyon College in Ohio and attended the National Theater Institute in Connecticut.
During Fishbach's tenure at The Groundlings, the improv company signed a New Media deal with Sony for short digital sketches.
Other credits include Steven Dietz's Private Eyes, Nicky Silver's The Maiden's Prayer, Spring Awakening, Company, Chicago, Bat Boy: The Musical, South Pacific, The Glass Menagerie, The Prime of Miss Jean Brodie, and Little Shop of Horrors.
Fishbach's company Page One Productions produced Tim Crouch's play An Oak Tree at The Odyssey Theatre in Los Angeles, featuring Jason Alexander, Alan Cumming, Alanis Morissette, Peter Gallagher and Wendie Malick.
In 2015, he directed Stephen Sondheim and John Weidman's musical Assassins in Los Angeles.