Here is the full list of all 51 Pato Box achievements.
Defeat Miss Brauch Enten
Who is the champ now?
Defeat Kilpatrick without getting hit
Interrupt Kilpatrick's headbutt 5 times before defeating him
Defeat Brauch without getting hit
Destroy only one battery at a time in Brauch's fight
No duck for dinner tonight
Defeat Pizzicanatra without getting hit
Don't make Pizzicanatra vomit
Enough raving for a day
Defeat Plaganetes without getting hit
Defeat Plaganetes without repeating a phase
I guess we don't all float down here
Defeat Vorutki without getting hit
Return all of Vorutki's Bombs.
Et tu, Faith?
Defeat Faith without getting hit
Don't let the penthouse boss use the syringe on you
Get to the choppa!
Defeat Mr. Den without getting hit
The final countdown...
Win first prize on the roulette
It was worth it...
Getting answers
Finish the Factory without dying
Get ready for business at the office.
Freeze Junior in the laboratory
Find all the rats in the sewers
Open all the doors at the living quarters
Find all the patokens in the game
Open the secret door in the lobby
Find all Patokens at the Lobby
Find all Patokens at the Food Factory
Find all Patokens at the Casino
Find all Patokens at the Laboratory
Find all Patokens at the Sewers
Find all Patokens at the Offices
Defeat Dark Pato
Defeat Dark Pato without missing a single eye shine
Defeat Dark Pato without getting hit
Finish the Boss Rush in Arcade Mode
Get an S rank in Brauch's fight in Arcade Mode
Get an S rank in Vorutki's fight in Arcade Mode
Get an S rank in Pizzicanatra's fight in Arcade Mode
Get an S rank in Plaganetes's fight in Arcade Mode
Get an S rank in Kilpatrick's fight in Arcade Mode
Get an S rank in Faith's fight in Arcade Mode
Get an S rank in Dark Pato's fight in Arcade Mode
Get an S rank in Boss Rush mode in Arcade Mode
Get an S rank in all fight and modes in Arcade Mode
Defeat all the bosses in Arcade Mode