There are 24 possible puzzles to access in the game. Throughout the majority of the game, only 22 are accessible, though. For some reason, I have been unable to find #16: "Extra Charming" and #18: "Something Smells Good" before:
However, you can access it later on through the Pause menu "after" that point in the game. You can complete most of the puzzles for this trophy, though. By the time you reach the point of no return for puzzles mentioned above, you should have cleared twenty-two if you were exploring. They would be.
*Ripe for a Swipe
*Like a Charm
Tough Little Guys
*A Note of Friendship
*Knot So Easy
*Song of Stone
*Skunk in a Funk
That Ain't Sitting Right
*No Extra Charge
* Those marked with an asterisk are necessary for the story.
You would still have a chance to fill in a spot with Happy Skies or Circuit Training, the last two puzzles, if you decided not to do some of the others (like Tough Little Guys and The Conqueror, or Barbecued Legs).
*Note: To do The Conqueror, you have to complete Barbecued Legs for the item given.