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