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