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