Here is the full list of all 33 Super Sami Roll achievements.
Collect all Keys.
Wear the Viking Helmet and Flaming Sword.
Wear the Vampire Cape and Vampire Fangs.
Defeat the boss of World 3.
Wear the Winter Hat and Snow Goggles.
Wear the Buccaneer Hat, Shiny Hook, and Eye Patch.
Defeat the boss of World 2.
Wear the Fashionable Nemes, Golden Beard, and Ancient Crook.
Collect all 15 Raspberries.
Defeat the boss of World 1.
Finish a stage with 1 second left on the timer.
Get the Maestro rank.
Buy an Accessory.
Collect a Key.
Get the S+ rank.
Make Kaneko crash.
Find a secret exit.
Get the S rank.
Collect a Raspberry.
Enter the first stage.
Get 100 Chips in a single stage.
Defeat the boss of World 4.
Defeat the boss of World 1 as Vera.
Defeat the boss of World 2 as Vera.
Defeat the boss of World 3 as Vera.
Defeat the boss of World 4 as Vera.
See the ending cutscene.
Clear the last stage in the Starry Hall.
Clear the first stage as Vera.
Wear the Spelunker Hat and Sturdy Mattock.
Wear the Hat of Heroes, Macho Mustache, and the Red/Blue Tint.
Wear the Sentimental Tutu and Black Tint.
Wear the Rainbow Rod and Rainbow Tint.