The pilot is set to be scripted by Tim Hobert (Community, The Middle), who will also executive produce alongside Galecki and Holly Brown.
Galecki also marks the second Big Bang alum to head to HBO Max for a new series, with on-screen bride Kaley Cuoco attached to lead the upcoming drama The Flight Attendant.
It will follow the titular family and explore their lives in the suburbs of modern-day Chicago.
It spawned four sequels, 1985’s European Vacation, ’89’s Christmas Vacation, 1997’s Vegas Vacation and 2015’s soft reboot Vacation.