I use Book Tracker and StoryGraph.
Book Tracker is iOS only. But it is nearly perfect for what I want. It allows me to track what books I have in my library, what;s on my wishlist, the progress of the books I'm reading, as well as being able to organize them by tags, series, author, etc. And I think it looks quite nice. Another reason I like Book Tracker so much, is that was only a one-time payment of $10, where it seems there are several apps that are on a subscription model.
StoryGraph is on both iOS and Android. I found it highly recommended by many readers in the reading community. I don't like the way it handles organizing and cataloging my library; it feels cumbersome and convoluted. Where StoryGraph shines, is with the interesting statistics it provides, as well as a fairly decent recommendation algorithm; something Book Tracker doesn't have. It also has a review section where you can read reviews left by others on the app, as well as leave your own.