Here is the full list of all 21 Skyshine's BEDLAM achievements.
Obtain 3000 Meat
Score at least 1 million points
Score at least 4 million points
Win a battle against 15+ enemies
Obtain over 3000 passengers
Score at least 6 million points
Reach Aztec City with over 1800 passengers
Visit 40 or more POIs
Obtain 3000 Crude
Score at least 500,000 points
Score at least 2 million points
Obtain 200 or more Power Cells
10 Battle win streak!
5 Battle win streak
3 Battle win streak
Blast 10 enemies with The Nuker!
Visit 35 or more Side POIs
100 or more kills
Reached Aztec City
Reach Bysantine during a Double Down!
Reach Bysantine during Double Down on Bedlam difficulty