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