You may have noticed there's a lot of dragon related fics here. You can find more at https://www.reddit.com/r/Dragonlit which was a community I participated in.
More "scaly" than "furry", but if that's acceptable, and kobolds are interesting to you, I can recommend the Kobolds trilogy. The first book is even free if you've got a Kindle (or are willing to download the Kindle app on an Android / iOS device) and read it that way.
I wrote Dragons Deep about a year ago. The world has furry characters but also dwarves, elves, and humans. The main character has to decide if he wants to become a lion. There are a lot of transformations in it because I'm addicted to TF.
I really liked "Light on Shattered Water" The main protag. isn't furry, but everyone else are felines.
It's about a human who for an unknown reason found itself in a world populated by anthro felines. The main character has to adapt to this new reality and has to learn how this society functions. It's pretty graphic tho, the human gets critically wounded multiple times, and there are a few sex scenes.
There's also a continuation that closes the story, but after the first book it's somewhat repetitive and gets boring.
If you are looking for something as bit more lighthearted: "The Calatians" series was very nice to read.
It's set in a society divided between humans and anthros, where the anthros are seen as a lesser species just slightly above slave status. It's also on earth back in the 1800s and has magic. The story is about a young fox boy trying to get into a sorcery college when magic is reserved for humans. It's a 4 book series and i loved it from A to Z, the struggle of trying to prove yourself to humanity and obtain more rights for your specie.
For me personally, something fantasy related maybe with a nice magic system would be nice. Or maybe sci-fi, actually.
Anything other than "modern urban life, but with a slight difference" style stories. But really, I've not sat down and read anything for many years, so I'm still at the stage of (re-)discovering what sort of things I like.
Your going to find a lot of coming of age/finding ones self and erotica. Some of the ones Iv read in the last few years:
Rising World LitRPG / Isekai - Young guy is reborn as a fox engineer in a mid-evil world. I got this by audiobook, and while I did enjoy the story the reading was vary 'stilted'.
Skeleton Crew Scfi - Recycler on a generation starship ends up landing in as a target when his illegal birth is descovered putting slave crew at risk.
Into the Light Isekai / LitRPG - Young marines are summoned to save the world. This one is not strictly furry but the main character becomes a Kitsune. I did the audio book version of this and enjoyed the reading.
The Tower and the Fox Second class citizen Fox aims to be the first of the animal people to learn magic. This is an alternate history series, it takes place somewhere just before the American Revolutionary War.
Sits up and puffs out his chest in good posture.
I wrote a book last year called Dragons Deep. I'm obligated to my OCs to promote it.
It's about a guy who gets a magic ring to attract love. Only three different suitors appear. One of them is a daddy anthro lion that wants him to join his pride. It is filled with TFs (including a dragon TF, of course.) It has been described as "If Douglas Adams had written a gay romance...."