Here is the full list of all 64 Geo achievements.
Completed division 1
Earned 240 research medals
40 rooms known
Researched 360 Cells
Leveled up crew 250 times
Unlocked 91 Coretrium Nodes
Hired 96 crew members
Earned 160 research medals
200 cores drilled
48 shop items purchased
Completed division 2
Upgraded HQ to level 15
Researched 240 Cells
Completed division 3
Earned 100 million in gold
30 quadrants explored
Hired 60 crew members
Researched 160 Cells
Completed division 4
36 shop items purchased
Smashed 3,000 chests
100 cores drilled
Leveled up crew 120 times
Played Research Roulette 50 times
4th tier drill sites unlocked
25 rooms known
Completed division 5
Completed division 6
Completed division 7
Completed division 8
Completed division 9
Completed division 10
Upgraded HQ to level 10
Smashed 5,000 crates
Unlocked 50 Coretrium Nodes
Researched 120 Cells
Earned 80 research medals
24 shop items purchased
15 rooms known
Earned 10 million in gold
3rd tier drill site unlocked
Researched 80 Cells
Hired 25 crew members
Leveled up crew 50 times
Smashed 2,500 crates
Unlocked 25 Coretrium Nodes
Upgraded HQ to level 5
Smashed 1,000 chests
12 shop items purchased
Researched 40 Cells
25 cores drilled
Earned 2.5 million in gold
Played Research Roulette 10 times
2nd tier drill Sites unlocked
5 rooms known
Earned 500 thousand in gold
Earned 1 research medal
Hired 5 crew members
Unlocked 5 Coretrium Nodes
Researched 10 Cells
Leveled up crew 1 time
Upgraded HQ for the first time
Researched 1 Cell
1 core drilled