Here is the full list of all 56 Space Mercenary Defense Force achievements.
Achieve a victory (In classic mode) & unlock the Aries Celestial Modifier.
Unlock the Taurus Celestial Modifier.
Unlock the Gemini Celestial Modifier.
Unlock the Cancer Celestial Modifier.
Unlock the Leo Celestial Modifier.
Unlock the Virgo Celestial Modifier.
Unlock the Libra Celestial Modifier.
Unlock the Scorpio Celestial Modifier.
Unlock the Sagittarius Celestial Modifier.
Unlock the Capricon Celestial Modifier.
Unlock the Aquarius Celestial Modifier.
Unlock the Pisces Celestial Modifier.
Achieve a victory with all Celestial Modifiers equipped (In classic mode).
Purchase & equip a new ship.
Purchase & equip a fully upgraded Astral Upgrade.
Purchase & equip an Astral Upgrade from each tier.
Unlock the Astris' ship perk.
Unlock the Hornet's ship perk.
Unlock the Mantis' ship perk.
Unlock the Bishop's ship perk.
Unlock the Corvette's ship perk.
Unlock the Zephyr's ship perk.
Unlock the Praetor's ship perk.
Unlock the Drekar's ship perk.
Unlock the Devastator's ship perk.
Achieve a victory with a different ship's perk equipped (In classic mode).
Complete 2 encounters in a single run.
Achieve a victory with only defensive modules equipped (In classic mode).
Achieve a victory with only melee modules equipped (In classic mode).
Achieve a victory with the Space Blade & Portable Shield Generator modules equipped (In classic mode).
Achieve a victory with at least 1 empty module slot (In classic mode).
Finish a run with a score of 2,000,000 or more.
Finish a run with a score of 3,000,000 or more.
Have 25,000 credits at once.
Win a jackpot payout from a slot machine.
Acquire 4 synergy upgrades at once.
Achieve a victory with Turbo Mode enabled (In classic mode).
Win a double or nothing coin toss.
Win a jackpot prize in a wheel spin
Win nothing in a wheel spin.
Win a prize from a slot machine, coin toss, & wheel spin in a single run.
Defeat the final boss without taking damage (In classic mode).
Achieve 3 classic mode victories in a row with all Celestial Modifiers enabled. (In a single sitting)
Lose a classic mode run in less than 5 minutes 3 times in a row. (In a single sitting)
Achieve a victory with all Celestial Modifiers enabled and no Astral Upgrades equipped (In classic mode).
Achieve a victory without taking damage (In classic mode).
Complete a challenge invasion.
Unlock the Omicron system of challenge invasions.
Unlock the Omega system of challenge invasions.
Complete all challenge invasions in the Epsilon system.
Complete all challenge invasions in the Omicron system.
Complete all challenge invasions in the Omega system.
Complete all challenge invasions.
Purchase and equip a ship skin.
Purchase all skins for a ship.
Purchase every skin for every ship.