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