Here is the full list of all 43 SD Gundam Battle Alliance achievements worth 1,000 gamerscore.
Acquire all achievements
Clear a mission excluding "The Threat of Zeon"/Tutorials
Finish Directory 1: Soldiers' System
Finish Directory 2: Amid the Storm
Finish Directory 3: Angels and Demons
Finish Directory 4: Red Water Star
Finish Directory 5: Meteoric Destiny
Finish Directory 6: Victors' Requiem
Finish Directory 7: Rhapsody in G
Finish a true mission
Finish a mission on hard
Finish 10 different chaos missions
Finish 21 different chaos missions
Develop an MS
Develop 50 MS
Uncap an MS
Reach MS level 31
Reach MS level 50
Reach player level 50
Raise a partner unit's friendship to max
Raise 10 partner units' friendship to max
Acquire 30 available partner units
Acquire a rarity 4+ expansion part
Acquire a rarity 7+ expansion part
Reach a total of 1,000,000 dropped Capital
Perform 100 role actions excluding "The Threat of Zeon"/Tutorials
Hit with 100 neutral Chain Breakers excluding "The Threat of Zeon"/Tutorials
Hit with 50 reversal Chain Breakers excluding "The Threat of Zeon"/Tutorials
Aid partners with Restore 30 times excluding "The Threat of Zeon"/Tutorials
Achieve a 50 hit combo excluding "The Threat of Zeon"/Tutorials
Perform 50 counters excluding "The Threat of Zeon"/Tutorials
Perform 100 SPAs excluding "The Threat of Zeon"/Tutorials
Destroy 500 enemy MS/MA excluding "The Threat of Zeon"/Tutorials
Destroy 2,000 enemy MS/MA excluding "The Threat of Zeon"/Tutorials
Destroy 100 MS/MA with aerial combos excluding "The Threat of Zeon"/Tutorials
Destroy 250 MS by cutting through them excluding "The Threat of Zeon"/Tutorials
Deal 2,000 damage in a single strike excluding "The Threat of Zeon"/Tutorials
Deal 3,000 total damage excluding "The Threat of Zeon"/Tutorials
Survive within the 1-9 HP range excluding "The Threat of Zeon"/Tutorials
Clear 3 missions with no partners excluding "The Threat of Zeon"/Tutorials
Use a callout
Finish a mission in multiplayer
View a briefing cutscene in the Library