I have not extensively explored the world of strictly furry literature, but I have to recommend the adventures of Captain Furry. It's somewhat flawed; the main character's faults aren't really treated as such, and if you hate inflation/weight gain, then you definitely won't like this, but nevertheless, it is a very heartfelt story, even outside its genre.
It's basically about a frumpy but tidy Lion trying to survive life with his sloppy canine roommate. I read it just before I graduated. You can find it on Captain Furry's furaffinity page, although you need an account to read it.