Bear cheese method
We've found bear to be quite a challenge in fresh update world. So, for your consideration I present...
Clubbing a bear to death.
We figured out quite by accident that a bear will flee campfire such that they won't even attempt to attack you. Step 1) Dig hole; Step 2) Get bear in hole (in recommend either building a trap floor and deleting it a la wolf taming, or getting him to lunge off a "plank"); Step 3) Campfire; Step 4) ????? Profit!