Here is the what the completed map looks like...
Note how all the areas are colored in...
Make sure you click on the red circled areas to bring up mission information...
1-9: These Map Quests are completed during the Hot on the Trail quests
10. Complete the Safe Room Puzzle: Complete Geoffrey's Secret Chamber
11. Go Green, Grow Greens: Complete the Vegetable Garden from the market-> building tab.
12. Return to your Favorite Scenes: Play any 4 scenes
13. Explore Secluded Treehouse: Complete the Lofty Playroom Puzzle.
14. Build a vault (In your inventory after doing Chapter 3)
15. Complete the "Water Creatures" Collection
16. Return to "The Jeweled Cast-off": earn 13 trophies from Chapter 5
17. It's the Age of Aquarium: Place the Aquarium from inventory (old reward)
18: Explore the Secluded Lion Pond: play the scene once & unlock the Sunken Lion scene.
19: Explore the Secluded Retreat: play the scene once
20: Gather under the Rotunda: Build the Guardian Rotunda
21: Trade-in Farm Animals Collection
22: Trade-in the Secret Agent Collection
23: Place the Turquoise Pagoda: from the original quests.
24: Trophy Pile: Collect 15 trophies in Chapter 6
25: Explore the Secluded Pavilion: play the scene once
26: Complete Modern Art Collection: Trade-in the collection
27: Celebrate a Centaur Sentry: Place the Centaur statue (marketplace under structures)
28: Complete Toys and Trinkets Collection: Trade-in the collection
29: Place the Barn: from the original quests
30: Explore the Secluded Windmill
31: Trophy Stand: Gain 15 trophies in Chapter 2
Thanks to Jeanette E. and Connie B. for helping me put this list together...
Here's a picture of my map... I was at 28/31 at this point
Here are some of the pictures of the quests rewards:
Place the Centaur Statue
Turn in the "Modern Art" Collection
Replay Secluded Retreat
Build the Guardian Rotunda
Complete 17 Map Quests
Turn in Farm Animals Collection
Turn in Collection for Stage Coach
Build the Guardian garden