Here is the full list of all 51 ESP RA.DE. PSY trophies - there are 42 bronze, 5 silver, 3 gold and 1 platinum.
Collect all trophies. You are now fully awakened as an ESPer.
Complete the game in Super Easy Mode
Complete the game in Arcade Plus Mode
Complete the game in Arcade Mode
Complete the game with Yusuke Sagami (in any of Arcade, Super Easy, Arcade Plus or Custom Modes, with or without Quick Save / Continues)
Complete the game with J-B 5th (in any of Arcade, Super Easy, Arcade Plus or Custom Modes, with or without Quick Save / Continues)
Complete the game with Irori Mimasaka and see her normal ending (in any of Arcade, Super Easy, Arcade Plus or Custom Modes, with or without Quick Save / Continues)
Complete the game with Alice Master (in any of Arcade, Super Easy, Arcade Plus or Custom Modes, with or without Quick Save / Continues)
Complete Super Easy Mode with no deaths (with or without Quick Save)
Defeat Stage 4 Midboss (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Defeat Stage 4 Boss (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Defeat Gogyo-Kakushi in Stage 5 (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Defeat Ares in Stage 5 (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
See the co-op ending (continues & mid-game joining allowed)
See Irori’s hidden ending, where the woman just walks past her (hold down the start button before the ending begins in any of Arcade, Super Easy, Arcade Plus or Custom Modes, with or without Quick Save / Continues)
Achieve life extend via score (in Arcade Mode, with or without Quick Save)
Collect Life Up in Stage 4 (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Fail to collect Life Up in Stage 4 as it goes off screen (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
As Player 2, use guard barrier attack to raise the multiplier, starting from more than 1 (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Start the game with any of A, B or C buttons pressed to make the multiplier visible (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Collect a Barrier Refill item that appears when you use guard barrier while having a set number of Yen items (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Charge your guard barrier to its maximum size by holding the guard barrier button (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Absorb 200 enemy bullets with guard barrier in one go (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Reach x16 multiplier in Arcade Mode
Press the guard barrier button within 1/6 sec. after getting hit (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Use Quick Load in Arcade Mode
Play Arcade Drilling Mode for the first time
Complete 10 ESP memories in Arcade Drilling Mode
Play a mission in Irori’s Room
Play every area with every character in Irori’s Room
Unlock a room for an additional character in Irori’s Room
Unlock a room for every character in Irori’s Room
Feed a pet in Irori’s Room until it levels up
Collect all four pets in one room in Irori’s Room
Dress up a character in Irori’s Room
Rearrange a room in Irori’s Room
Defeat Alice Master in Irori’s Room
Fill the screen with 75 Yen items, the maximum number that can exist at one time (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Play Arcade Mode for the first time
Play Super Easy Mode for the first time
Play Arcade Plus Mode for the first time
Play Custom Mode for the first time
Prolong Stage 5 fight with Gogyo-Kakushi almost to its time limit, letting them unleash their powerful attack (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
In Bay Area Stage, destroy all five parts of Pellaboy before it enters phase 2 (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
In Shopping Mall Stage, destroy IZUNA’s all four wheels before it enters phase 2 (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Keep the multiplier at x16 for 3 seconds (in any of Arcade, Super Easy, Arcade Plus or Custom Modes; Boss fights not counted)
In Shopping Mall as Stage 2 or 3, hit the car that briefly shows up just before IZUNA begins attacking (in any of Arcade, Super Easy, Arcade Plus or Custom Modes)
Defeat Houoh High School Boss in any of Arcade, Super Easy, Arcade Plus or Custom Modes
Defeat Shopping Mall Boss in any of Arcade, Super Easy, Arcade Plus or Custom Modes
Defeat Bay Area Boss in any of Arcade, Super Easy, Arcade Plus or Custom Modes
Play Arcade Challenge Mode for the first time