Here is the full list of all 27 Jack Lumber achievements.
Buy five pictures for your cabin.
Spend 50000 Logs in the store. (Lifetime)
Get a gold sash for every animal
Use 15 Syrups
Beat a level with three or more beards on.
Buy all the beards
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.
Learn the names of the people that made this game
Hit 10 animals
Click the animals in the Cabin 200 times.
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
Re-watch a cutscene
Use 50 Syrups
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)