A bear is a large mammal native to planet Earth.
A stuffed bear's head was on display in Korob and Sylvia's illusionary castle. (TOS: "Catspaw")
After the incident with the Romulan spy Selok in 2367, Commander William T. Riker stated: "Some days you get the bear, some days the bear gets you." (TNG: "Data's Day")
In the Native American culture, the spirits of the bear, the parrot and the coyote, were among the animals that visit their habak in their vision quests. Also, a Comanche named Walking Bear, was named after the animal.(TNG: "Journey's End"; TAS: "How Sharper Than a Serpent's Tooth")
In the Beowulf holodeck program, Freya told The Doctor that they consumed the atuta before battle to bring on the spirit of the bear and the strength to swing their swords. (VOY: "Heroes and Demons")
While discussing animal guides with Chakotay in 2371, Kathryn Janeway guessed that his guide was a bear. Chakotay told Janeway that his guide was not a bear, although he said it had great pokattah. (VOY: "The Cloud")