Here is the full list of all 27 Jack Lumber achievements.
Finish all of your errands like a good lumberjack.
Hit 10 animals
Get a plaid sash for every animal
Get a gold sash for every animal
Get a silver sash for every animal
Use 100 Syrups
Use 50 Syrups
Use 15 Syrups
Beat a level with three or more beards on.
Buy five pictures for your cabin.
Buy all the beards
Get a bronze sash for every animal
Beat World 4
Beat World 3
Read all of the letters from Ranger Bob
Spend 100000 Logs in the store. (Lifetime)
Spend 50000 Logs in the store. (Lifetime)
Own at least one of every syrup at once.
Get a painting for for Jack's cabin
Beat a level with one or more beards on.
Spend 5000 Logs in the store. (Lifetime)
Click the animals in the Cabin 200 times.
Read all of the letters from Jill Timber
Beat World 2
Beat World 1
Learn the names of the people that made this game
Re-watch a cutscene