Here is the full list of all 17 Mobile Suit Gundam Battle Operation 2 trophies - there are 13 bronze and 4 silver.
Get promoted to Lance Corporal.
Rank up to Rating D.
Get promoted to Private First Class.
Sortie into battle 10 times.
Defeat a rival.
Complete all "Exploring the base camp" training
Acquire 10 MS.
Get promoted to Corporal.
Get promoted to Sergeant.
Get promoted to Master Sergeant.
Rank up to Rating D+.
Rank up to Rating C-.
Rank up to Rating C.
Rank up to Rating C+.
Rank up to Rating B-.
Rank up to Rating B.
Rank up to Rating B+.