Since the first season of "Organized Crime" is still underway, we most likely won't get a premiere date for Season 2 for several months, if not until 2022. But we can still make an educated guess based on the production of "Organized Crime" Season 1.
According to Deadline, NBC is planning for "Organized Crime" to be part of a Thursday night "Law & Order" programming block for its fall 2021-spring 2022 TV lineup. The newest "Law & Order" series, "For the Defense," will see its season premiere this fall and kick off the block each Thursday, with "SVU" and "Organized Crime" following.
Most likely, the "Organized Crime" Season 2 premiere will fall on the same day as the "Law & Order: For the Defense" premiere. Either way, it could be arriving as early as fall 2021. It helps that each season of "Organized Crime" only has eight episodes, which take about months to produce in total. Season 1 started production on January 21, 2021 (via TV Web) and premiered on April 1, despite multiple COVID-19 pauses.