It can sometimes be a complete toss-up whether the retro releases coming to PS Plus Premium and the PS Store will ship with a Trophy list, but in the case of today's new addition, Wild Arms 4 thankfully does give you a Platinum Trophy to unlock.
It's available now via a PS Plus Premium subscription, or you can simply purchase the classic RPG for £7.99 / $9.99.
There are 28 Trophies to unlock in total, including the Platinum Trophy. You can view the full list on Exophase, but highlights include main story progression achievements, clearing arena battles, and purifying every Break Point. There are also some slightly more vague Trophies, like one that requires you to help Andy with his breathing problem and another demanding you get a gift from Bryan.