Go to the PS Store and locate the Sackboy: A Big Adventure game, then go to the DLC tab.
You should find a heap of free complete costumes. Almost 50 as of April 2023 *
Some are quite cool. Claim them all.
Go to Zoom-Zoom and purchase something.
It’s possible the trophy then pops right away (I already had 150 of the required 300 pieces before claiming the DLC costumes and so it directly popped for me).
Either way, this makes the trophy an absolute breeze, no need for grinding…
* Edit: I got 47 emails, so that’s how many costumes I claimed 😃