I love animals, but I have no real fascination for films where animals feature prominently. The only one I can think of that I have any attachment to is Homeward Bound II: Lost in San Francisco, and that's only because it was played on repeat on TV when I was a lot younger, so most of the characters are seared on my brain. I haven't seen the first film, but I gather it was along the lines of them getting lost, somehow... but in a less glamorous location than San Francisco. (Although, reading its Wikipedia page in preparation for this post, I never realised that two of the critters were voiced by Sally Field and Michael J. Fox. You do learn something new every day!)
Apart from that, I can't really think of any live-action animal movies that I've seen. I made a conscious effort NOT to see War Horse in either its stage or film adaptation, as I don't really care all that much about war or horses, but that's honestly all I can think of.