Here is the full list of all 31 Machineers - there are Episode 1: Tivoli Town achievements.
Tivoli Town Puzzle 1 - Fixed the Fusebox!
Tivoli Town Puzzle 2 - Repaired the Doorbell
Tivoli Town Puzzle 3 - Zima flies again!
Tivoli Town Puzzle 4 - Helped the DJ mix again!
Tivoli Town Puzzle 5 - Lorry's Oil is back in business!
Tivoli Town Puzzle 6 - Opened Hex's sales cart
Tivoli Town Puzzle 7 - You got the locomotive going again
Tivoli Town Puzzle 8 - Rescued the teddy bear from the crane machine
Tivoli Town Puzzle 9 - The Ferris wheel spins again!
Tivoli Town Puzzle 10 - The trains now reach their destinations
Tivoli Town Puzzle 11 - Saved the world from alien intruders
Tivoli Town Puzzle 12 - Unlocked the vehicle workshop
Tivoli Town's Vehicle Workshop - You made a working vehicle!
Tried fixing Lorry's lights with the letters flashing in sequence
Got all the items in the crane machine
No crashes on the train tracks
Moved the aliens with only 2 belts and 2 gears
Drive a vehicle with only forward/reverse wheels to River City
Episode 2 Puzzle 1 - The ferry runs again!
Episode 2 Puzzle 2 - Harper thinks you're ready!
Episode 2 Puzzle 3 - Repaired the elevator!
Episode 2 Puzzle 4 - The fountain springs to life!
Episode 2 Puzzle 5 - You lowered the Bridge into River City!
Episode 2 Puzzle 6 - Picked up the bottles coming from Hill Top Village.
Episode 2 Puzzle 7 - The boat can now go downstream!
Episode 2 Puzzle 8 - Made a masterpiece!
Episode 2 Puzzle 9 - Harvested water plants
Episode 2 Puzzle 10 - Got the spa just right.
Episode 2 Puzzle 11 - Pinged to Pong Ping machine!
Episode 2 Puzzle 12 - Queen Bridget's castle rises again.
River City's Boat Workshop - You made it up the river!