Here is the full list of all 19 Fling achievements worth 200 gamerscore.
Successfully solve 10 puzzles
Successfully solve 50 puzzles
Successfully solve 100 puzzles
Successfully solve 500 puzzles
Earn 5 gold medals in Frenzy mode
Earn 10 gold medals in Frenzy mode
Earn 30 gold medals in Frenzy mode
Earn 40 gold medals in Frenzy mode
Remove 30 balls within 30 second period in Frenzy mode
Top 200 points in one game in Arcade Mode
Top 1000 points in one game in Arcade Mode
Top 5000 points in one game in Arcade Mode
Top 20000 points in one game in Arcade Mode
Top 50000 points in one game in Arcade Mode
Fling a furball into a line of multiple furballs
Solve a puzzle despite first doing many wrong moves
Solve 5 puzzles in a row without making any wrong moves
Solve 15 puzzles in a row without making any wrong moves
Earn 20 gold medals in Frenzy mode