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