My husband listened to the first two His Dark Materials books and then the third one showed as unavailable until next month. He's listening to the the third now with a free kobo audiobook black Friday membership I signed up for, so he'd quit whining.

I listened to the latest Grisham and am currently listening to Reamde.
I put about 50 audiobooks into my saved lists and 40 of these are not available until next month, leaving 10 (mostly older Stephen King books) available for the rest of this month to choose from. I expect that list could shrink further if we actually listen to another title. I don't mind waiting a month since that's shorter than the library holds for anything new, but it is frustrating not knowing which books will be available when you want them.
The app is excellent for browsing, but sucks for actually listening. Occasionally it forgets where I was and starts at the beginning. Sometimes it tries to stream rather than use the downloaded audiobook and it often stutters when using bluetooth in the car or with headphones. Restarting the app and/or putting my phone on airplane mode and force it to use the download seems to work, which is not ideal. When you browse sometimes you accidentally start playing a book and then you have to go hunt for the one you were already listening to in your saved list.
Because of the problems with the app I doubt I'll continue with the membership, although getting 4 or 5 audiobooks per month to listen to for $9 is good, especially when some are newly released audiobooks. Since I have access to the library again and am willing to wait for holds, Scribd isn't worth the hassle. My husband hates having to keep track of and use multiple apps to listen with and I can load the library mp3s onto his phone where he can listen to them with the Audible app.