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