Here is the full list of all 27 Spark and Sparkle achievements.
Collect all of Cake Tour's special puzzles
Collect all the special tour puzzles from Arcade Mode
Acquire a new costume for the Ice Cream Mermaid Princess
Collect all of Vanilla Tour's special puzzles
Challenge a friend in Match Mode or Online Mode
Collect all of Truffle Tour's special puzzles
Collect all of Orange Tour's special puzzles
Complete a puzzle by correctly placing every piece on the first try
Complete a puzzle in Gallery Mode
Complete a puzzle with the Ice Cream Mermaid Princess
Complete a puzzle with Stripe
Complete a puzzle with Amy
Complete a puzzle with Crow
Acquire a new costume for the Frog Prince
Collect all of Mint Tour's special puzzles
Acquire a new costume for Spark
Complete a puzzle with the Frog Prince
Complete a puzzle with Toast
Complete a puzzle with Spark
Complete a puzzle without getting hit
Complete a puzzle with Sparkle
Earn a gold medal on each tour
Acquire a new costume for Sparkle
Acquire a new costume for Toast
Acquire a new costume for Stripe
Acquire a new costume for Crow
Acquire a new costume for Amy