The order of things excluding the 2 achievements from start (George's and Dad's):
Go left to the Grandparent's house hop in the car for the What’s in These Rockpools? Achievement (interact with the rock pool 3 times).
Go back and into the house, left into the kitchen grab the food, right and feed Polly. Wait and then grab the chicken. Get out and go left until you deliver the chicken. Go right grab the second chicken and deliver it. Go right and near the house find the 3rd chicken and deliver it for the Rounding Up the Chickens Achievement
Back to Peppa's house go inside. Automatically go to Windy Castle and get The View From Windy Castle Achievement
Hop in the car and hop again when at Peppa's house to go to the Playgroup. Right and interact with the tree, left, enter the building and interact with Madam Gazelle, left and interact with the ladder for the Helping Tiddles the Tortoise Achievement.
Left and interact with the bus. Enter the museum and go right until Rocket to the Moon! Achievement pops.
Right, interact with miss Rabbit next to the balloon to reach the forest. Right and gather trash. Open the gate right and gather trash. Right interact with footprints and follow and get the Whose tracks are these? Achievement.
Gather sticks and deliver them to the campfire, go left and gather some more sticks to get the Collecting Sticks For the Campfire Achievement.
Left and interact with the balloon to get to the snowy mountain. On the bump of snow and interact. Interact with the snowman and gather the 5 components to make another one and get The Best Snowman Ever! Achievement.
Interact with the rabbit and get the skies. Ski down the slope and interact with the balloon. Left until you reach Peppa's house. Go in and upstairs. Ride to Potato city and get Always Remember To Eat Your Five! Achievement.
For a fast guide check the video below:
Timestamps:
00:00 Intro
01:01 Daddy’s Glasses, Where’s Mr. Dinosaur? Achievements
03:11 What’s in These Rockpools? Achievement
04:06 Rounding Up the Chickens Achievement
05:36 The View From Windy Castle Achievement
06:18 Helping Tiddles the Tortoise Achievement
06:57 Rocket to the Moon! Achievement
07:28 Whose tracks are these? Achievement
08:25 Collecting Sticks For the Campfire Achievement
08:49 The Best Snowman Ever! Achievement
09:44 Always Remember To Eat Your Five! Achievement