Here is the full list of all 40 Oil Rush achievements.
[Icebound] Capture Oil Rig 5 times with Seagulls
[Burn the Trash] Complete "Riot Raiders" chapter
[Wild West] Have 20 towers built
[Black Gold] Crush Raiders stealing oil
[First Blood] Begin the education
Apply Nuke skill 5 times in a single multiplayer match
Upgrade 5 towers on a single platform to a maximum level in a multiplayer match
Play a single multiplayer match for more than 90 minutes
Retain control over all Oil Rig platforms on the map for 5 minutes in a multiplayer match
Handover 3 platforms to a teammate in a single multiplayer match
Acquire Oil Refinery skill in a multiplayer match
Acquire Increase Limit skill in a multiplayer match
Inflict more than 100500 damage in a single multiplayer match
Win 5 multiplayer matches in a row
Play more than 5 hours in a single session
[Final Countdown] Complete the mission without launching Nukes
[Final Countdown] Complete the mission launching Nukes
[Final Countdown] Complete a campaign game
[Guerrilla War] Destroy all Oil Barges
[Guerrilla War] Capture all enemy platforms
[Hijack] Apply Mine Field skill 5 times
[Hijack] Apply Napalm skill 5 times
[Under Sail] Guide all 12 Wooden Junks
[Under Sail] Guide precisely a half of Wooden Junks
[Under Sail] Complete "Another Path" chapter
[Breakup] Win with only one platform left
[Oil Rush] Sell 10 towers
[Oil Rush] Steal 200 oil from Oil Storages
[Oil Rush] Win when there's only 50 oil left in the region
[On the run] Shoot down all pursuers
[On the run] Apply Radar skill 10 times
[Stealing Steel] Apply both Barricade and Propaganda in one game
[Stealing Steel] Sell tower with less than 20% HP under fire
[Stealing Steel] Complete "Frozen Hell" chapter
[Forging Victory] Finish construction of all 3 platforms
[Forging Victory] Capture all platforms of the enemy
[Arctic Twilight] Breach enemy defenses without capturing Oil Rig
[Burn the Trash] 20 mines blown
[Wild West] Apply Accelerate Construction skill three times
[Black Gold] Avoid unnecessary violence