Here is the full list of all 63 Nexomon trophies - there are 58 bronze, 3 silver, 1 gold and 1 platinum.
Defeat Grunda, the underground beast.
Defeat Merida, the terror of the ocean.
Capture 120 wild Nexomon.
Own a level 60 or above Nexomon.
Defeat 20 tamers.
Wasn't it obvious?
Defeat Merida in a volleyball match! Easiest win ever.
Defeat Overseer Hilda, master of the paranormal.
Win 500 battles on your adventure.
Defeat Nadine, the sky menace.
Defeat Overseer Ira, the fire rocker.
Win 400 battles on your adventure.
Capture 60 wild Nexomon.
Defeat 10 tamers.
Defeat Overseer Remus, a man who knows no fear!
Own a level 30 or above Nexomon.
Win 300 battles on your adventure.
Capture 30 wild Nexomon.
Win 200 battles on your adventure.
Defeat Overseer Ivan. That's hardly an accomplishment, though...
Win 100 battles on your adventure.
Capture 10 wild Nexomon.
Win your first tamer battle.
Catch your very first Nexomon.
Win your first Nexomon battle.
Get your very first Nexomon. Now go and save the world, champ!
Unlock all other trophies.
Battle Omnicron and become the new Nexolord!
Capture 180 wild Nexomon.
Capture 240 wild Nexomon.
Capture 300 wild Nexomon.
Capture the legendary Electric-type Nexomon, Luxa.
Capture the legendary Fire-type Nexomon, Fona.
Capture the legendary Mineral-type Nexomon, Grunda.
Capture the legendary mystery, Metta.
Capture the legendary Plant-type Nexomon, Nara.
Capture the legendary Warden of Fire, Ogoon.
Capture the legendary Warden of Mineral, Titan.
Capture the legendary Warden of Plant, Tikala.
Capture the legendary Warden of Thunder, Krowr.
Capture the legendary Warden of Water, Darine.
Capture the legendary Warden of Wind, Hexia.
Capture the legendary Water-type Nexomon, Arqua.
Capture the legendary Wind-type Nexomon, Ventra.
Capture the ultimate Nexomon, Omnicron.
Collect all 41 Nexomon fragments and get the radar.
Collect all monsters. A true master!
Defeat all tamers.
Defeat Fenrir, the embodiment of pride.
Defeat Omnicron (again) and save the world (again). Congratulations!
Defeat Omnicron in the ultimate battle.
Defeat Overseer Glacia, the jealous one.
Defeat the Warden of Fire, Ogoon.
Defeat the Warden of Mineral, Titan.
Defeat the Warden of Thunder, Krowr.
Defeat the Warden of Water, Darine.
Defeat the Warden of Wind, Hexia.
Defeat Zetta, the raging thunder.
Enter the mysterious Netherworld and complete your mission.
Own a level 30 or above reborn Nexomon.
Own a level 60 or above reborn Nexomon.
Own a level 99 or above Nexomon.
Own a level 99 or above reborn Nexomon.