To get the "Deep-Pocket Dragon" trophy, you'll first need to unlock the Kazuma Kiryu bot by completing the level "Boing! Bozanga" in the fourth main galaxy, Camo Cosmos. Additionally, you'll need to keep pulling the lever in the Gatcha Lab until you get his special item known as the Iconic Gate. With all of that out of the way, you can now find Kazuma Kiryu hanging out at the crash site beneath the Iconic Gate item, which is pretty easy to spot thanks to the bright red coloring.
All you have to do now is go up to Kazuma Kiryu and start wailing on him with your fists like a real bully (or, if you prefer, like a dragon). Keep at it for a while and watch as he drops a staggering amount of items on the ground. Eventually, he'll have dropped enough to earn you the "Deep-Pocket Dragon" trophy.
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