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