I think one thing I hate seeing in media is villains that are way more likeable than the heroes. If you have humans portrayed as the only creature capable of good and the villains as pretty much every other creature, including inoccuous things like kittens and bunnies, you've pretty much done this. There's almost nothing likeable about most modern-day heroes. Not only are they human, but they're usually very mediocre as far as story and personality goes. Yet the villains are usually badass, sometimes brimming with visual personality, and often times makes me root for the villains.
...Though for me to like a main character, it doesn't take much. Just not being human/elf/dwarf/human in general appearance is enough for me. The problem: it feels like we as a species have become somewhat obsessed with ourselves, so we often times portray ourselves as the absolute good. I'd love to see some modern media that breaks away from this by having an anthro or non-human hero, whether it be TV, movies or (best yet) videogames, I love hearing about new media staring non-humans.
I know of a lot of old media, I want to know of more recent media.