One sorta vaguely like that one (but with lions instead of a bear, and set in Africa not Alaska) is The Ghost in the Darkness. Great film, and based on historical events (albeit embellished...) I own Col Patterson's memoirs, and when I went to the Field Museum in Chicago, I made a point of looking for the taxidermied killer lions on display there.
IIRC, those 2 lions were genetically different, basically males without manes or something like that. I guess I like Val Kilmer films.
A good Val Kilmer sleeper: Spartan