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