Here is the full list of all 45 Broken Age achievements. It takes around 12-15 hours to unlock all of the achievements on Windows.
Reconnect with some old friends
Start a group dance party
Complete Broken Age
Make someone strut their stuff
Talk to the boss
Stand up for someone even though you haven't met her
Stand up for someone even though you haven't met him
Follow up on a successful performance
Find 30 unique reactions to the Spoon
Complete Act 2 of Broken Age
Find a genius
Tell a great joke in one attempt
Get a family member's help on a big project
Commission a custom garment
Visit someone in jail
Return a heavy duty spaceship part
Return a missing spaceship part
Chart a course away from danger
Deploy a weapon of mass destruction
Execute a PERFECT escape
Get to know a stranger
Remove 8 sad faces from the Bassinostra
Uncover an unsavory scheme
Get to the ship's brain
Answer some tough questions quickly
Complete Act 1 of Broken Age
Take Control of the Boom Arms
Hear 20 reasons why Gary won't grab that
Inhibit a powerful entitiy
Travel to a forbidden location
Disrupt Shay's daily routine
Make a Spoon Sweat
Examine all breakfast options
Take down Mog Chothra
Feed two different people a healthy snack
Endure a tight situation as long as you can
Leave an isolated town
Reunite a mother and child
Get to know someone in a precarious position
Escape the Maidens Feast
Learn all you can about Sugar Bunting
Unlock all Broken Age Achievements
Complete all rescue missions with zero errors
Clear up a tangled situation in one attempt
Complete Broken Age in under an hour, not counting loading and paused gameplay.