How do you complete all the Compact Duels in Stardust Accelerator?

Answer 1

Answer taken from Zaeolus's walkthrough from GameFAQs (see link in "Related Links" section below):

Compact Duel 1 - Mother Naturia

1. Activate Pot of Generosity, returning Ally of Justice - Blind Sucker and Ally of Justice - Unknown Crusher to your deck

2. Summon Nuvia the Wicked

3. Activate Big Bang Shot, equipping it to any monster, and negate it's effect with Naturia Beast

4. Activate the effect of Dark Hunter

5. Attack with Naturia Beetle, and Naturia Beastfor game.

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Compact Duel 2 - Master's Control

1. Activate Solemn Wishes

2. Activate Terraforming, getting Magical Citadel of Endymion from your deck

3. Activate Magical Citadel of Endymion

4. Activate Upstart Goblin

5. Activate Gather Your Mind

6. Special Summon Endymion, the Master Magician, adding Upstart Goblin from the Graveyard to your hand.

7. Activate Upstart Goblin

8. Activate Endymion, Master Magician's effect, discarding Gather Your Mind

to destroy Gravity Bind

9. Activate Smashing Ground to destroy Gellenduo

10. Attack with Endymion, the Master Magician for game

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Compact Duel 3 - Colossal Might

1. Activate Raigeki Break, discarding Speed Warrior, to destroy Burden of the Mighty

2. Summon Junk Warrior, using it's effect to special summon Speed Warrior.

3. Activate Quillbolt Hedgehog's effect to Special Summon it from the Graveyard.

4. Special Summon Turbo Warrior from your hand.

5. Synchro Summon for Colossal Fighter.

6. Activate Skill Drain.

7. Activate Final Attack Orders.

8. Enter your Battle Phase and attack one of your opponent's XYZ-Dragon Cannons.

9. Use Colossal Fighter's effect to Special Summon himself, and attack another XYZ-Dragon Cannon.

10. Repeat Step 9 and attack the last remaining XYZ-Dragon Cannon.

11. Revive Colossal Fighter one last time.

12. Activate Mystical Space Typhoon, and destroy your face up Skill Drain.

13. Attack with Colossal Fighter for game.

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Compact Duel 4 - Psychic Sight

1. Activate the effect of Destructotron and destroying the face-down Mirror Force.

2. Summon Psychic Snail

3. Activate Telekinetic Power Well, Special Summoning Krebons and Mind Master.

4. Activate the effect of Psychic Snail, targeting Destructotron

5. Activate the effect of Mind Master, sacrificing Psychic Snail to special summon Psychic Commander.

6. Activate the effect of Mind Master, sacrificing Krebons to Special Summon Power Injector.

7. Activate the effect of Power Injector.

8. Activate Psychic Sword and equip it to Destructotron.

9. Attack Spirit Reaper with Mind Master, and activate Psychic Commander's effect, paying 300 Life Points.

10. Attack directly with Destructotron twice.

11. Attack with Psychic Commander and Power Injector for game.

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Compact Duel 5 - /Assault Mode Win

1. Activate the effect of Assault Mercenary, destroying the face-down Bottomless Trap Hole.

2. Discard Assualt Beast from your hand to add /Assault Mode Activate to your hand.

3. Activate Copy Plant, copying one of your opponent's Queen of Thorns.

4. Activate Dark Core, discarding Dandylion to destroy the Queen of Thorns in attack mode.

5. Synchro Summon Red Dragon Archfiend, using the Copy Plant and two Fluffy Tokens.

6. Special Summon Quillbolt Hedgehog from the graveyard.

7. Synchro Summon Stardust Dragon with Arcane Apprentice, Assault Mercenary, and Quillbolt Hedgehog.

8. Activate Arcane Apprentice's effect to add /Assault Mode Activate to your hand.

9. Summon Night Wing Sorceress.

10. Set both /Assault Mode Activate.

11. Have Red Dragon Archfiend attack one of your opponents Queen of Thorns.

12. Attack directly with Stardust Dragon and Night Wing Sorceress.

13. Activate both /Assault Mode Activates, Special Summoning Stardust Dragon /Assault Mode and Red Dragon Archfiend /Assault Mode.

14. Attack with Stardust Dragon /Assault Mode.

15. Attack with Red Dragon Archfiend /Assault Mode.

16. Activate the effect of Stardust Dragon /Assault Modeto negate and destroy Red Dragon Archfiend /Assault Mode.

17. Activate the effect of Red Dragon Archfiend /Assault Mode to Special Summon Red Dragon Archfiend from your Graveyard.

18. Attack for game.