Here is the full list of all 39 Bandle Tale: A League of Legends Story achievements.
Fully upgrade the Leg
Fully upgrade your house
Host a Beachgoers' Bash on Inspiration Isle
Rescue Clover
Sell 50 items through a vending machine
Find Veigar on the beach
Visit all lookout points in Bandle City
Host a Dance Battle Bash in Gadgeton
Host a Big Bug Social in Greensprout Grove
Host the Awesome Yordle Fest
Host an Open Air Concert on Inspiration Isle
Talk to Teemo for the first time
Host an Inventors' Fair in Gadgeton
Host a Harvest Festival in Greensprout Grove
Catch 50 items from the portal
Talk to Lulu for the first time
Talk to Rumble for the first time
Fail to throw a Festival
Serve food to 20 guests
Try portal fishing
Hold your first lecture at Bandle University
Sell your first item through a vending machine
Plant your first seed
Throw your first Festival
Upgrade your house for the first time
Make your home portable
Throw your first Food Stand
Collect 50 resources from objects
Talk to Corki for the first time
Talk to Veigar for the first time
Talk to Tristana for the first time
Sleep for the first time
Leave Gramps's house for the first time
Knit your first yarn
Fail to host a Food Stand
Gather Champions Council at the headquarters
Arrange a date for Rumble and Tristana
Reunite Yarnville with Bandle City
Host the final party at the Unity Tree