Bobby Flay’s “Bobby’s Burgers,” Mighty Quinn’s, Fuku, Chef Christian Petroni, Mac Truck, Chickie’s & Pete’s, The Halal Guys, Benihana, Mister Softee, Blue Bunny and Baby Ruth.

Say the word “irradiation,” and a lot of people will shudder. Now ask them about irradiated food, and they’ll quickly say something like “definitely not.” Yet as far back as 1999, the U ...