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