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