Here is the full list of all 31 Disgaea 1 Complete (EU) trophies - there are 16 bronze, 9 silver, 5 gold and 1 platinum.
Completed Ep. 10 "Angels, Demons, and Humans"
Killed 1,000 enemies!
Performed your first transmigration
Completed Ep. 5 "Etna's Secret"
Killed 500 enemies!
Defeated the Extra Boss "Item General"
Completed Ep.1 "Prince of the Netherworld".
Obtained Total LV 1,000
Obtained Total LV 100
Killed 100 enemies!
Obtain all trophies.
Completed Final Episode "What Lies Beyond the Battle"
Completed Ep. 1 of Etna Mode "Super Dimensional Etna"
Completed Final Episode of Etna Mode "Chronicles of Etnarnia"
Cleared Extra Stages "Cave of Ordeal"
Defeated the Extra Boss "Priere"
Defeated the Extra Boss "Marjoly"
Defeated the Extra Boss "Baal"
Defeated all EX bosses!
Defeated the Extra Boss "Item King"
Defeated the Extra Boss "Item God"
Defeated the Extra Boss "Item God 2"
Dealt 100,000 Damage!
Dealt 10,000,000 Damage!
Obtained 1,000,000 HL
Obtained 10,000,000 HL at the end of battle
Obtained Total LV 5,000
Obtained Total LV 10,000
Performed 10 transmigrations
Obtained the Dream Hand!
Obtained the Hyperdrive!