Here is the full list of all 53 Fate/EXTELLA: The Umbral Star trophies - there are 46 bronze, 3 silver, 3 gold and 1 platinum.
Completely cleared Jeanne D'Arc's sidestory.
Completely cleared Nameless' sidestory.
Performed 50 Moon Crux/Drives.
Completely cleared Elizabeth Bathory's sidestory.
Defeated a total of 1,000 Aggressors.
Cleared the Golden Poem arc.
Allied with Tamamo no Mae in the Golden Poem arc.
Completely cleared Cu Chulainn's sidestory.
Upgraded one Install Skill by +20.
Revealed the true name of your Noble Phantasm 20 times.
Recorded all Install Skills in the gallery.
Cleared the Dawn arc.
Defeated Nero Claudius in the Orchid Poem arc.
Conquered a total of 100 sectors.
Defeated Tamamo no Mae in the Dawn arc.
Completely cleared Artoria Pendragon's sidestory.
Cleared the Orchid Poem arc.
Defeated Altera in the Orchid Poem arc.
Performed 200 Extella Maneuvers.
Cleared the Flame Poem arc.
Defeated Altera in the Flame Poem arc.
Upgraded one Install Skill by +10.
Cleared Artoria Pendragon's hidden side mission, then defeated her, once.
Succeeded 25% completion rate in the gallery.
Defeated Tamamo no Mae in the Flame Poem arc.
Obtained an EX rank in the results.
Equipped a new Mystic Code.
Performed a Moon Crux/Drive for the first time.
Equipped an Install Skill for the first ime.
Cleared the 1st stage of the Flame Poem Arc.
Switched with another Servant in battle for the first time.
Revealed the true name of your Noble Phantasm for the first time.
Performed an Extella Maneuver for the first time.
Obtained all trophies.
Cleared Artoria Pendragon's hidden side mission, then defeated her, on four different stages.
Completely cleared Medusa's sidestory.
Completely cleared Lu Bu's sidestory.
Completely cleared Karna's sidestory.
Completely cleared Iskandar's sidestory.
Completely cleared Gilgamesh's sidestory.
Completely cleared Li Shuwen's sidestory.
Completely cleared Gawain's sidestory.
Completely cleared Archimedes' sidestory.
Cleared all Servants' sidestories.
Prevented a Sector Trap for the first time.
Prevented a Sector Trap 30 times.
Recorded all Mystic Codes in the gallery.
Succeeded 100% completion rate in the gallery.
Defeated a total of 5,000 Aggressors.
Cleared all stages on VERY HARD difficulty.
Raised a Servant's Bond level to 30.
Raised 3 Servants' Bond level to 30.