Pacing is a big thing that I've noticed. Way too often you have a case where an author clearly wanted to write a cool interaction between two characters, or a showdown between the main protagonist and some kind of big bad dude, or long time rival, or even an emotional death of a major character. But while doing that, they completely forget to develop one or even both of the characters beforehand, to make the audience care about them and to highlight how important they are to the protagonist or what have you. It turns a potentially impactful scene into a "am I supposed to care about this?"
Obviously that's just one example of how poor pacing can impact a story, but to me these kinds of errors are what stands out the most, and it takes the shape I described earlier surprisingly often.
Another thing which I see often is bland dialogue. Two characters near each other and the only thing you see is an exchange of words. I think it was around 60% of our communication that is done through body language? Adding some simple but meaningful actions between the spoken words, being more descriptive with how a character relays information, even specifying their tone of voice will make any dialogue much more fun to read. And for the love of everything holy, never, ever directly narrate a character's thoughts unless you have a very good reason to. And even if there's a reason, there's usually better ways of doing it.
As a for furry specific tips? I suppose don't make your world just humans with animal heads and fluffy tails, because you might as well use regular humans and the story will work just as well. Have the anthro part of the story be an integral aspect of it, which actually contributes to the world, rather than just being skin deep.