I want to start reading some ebook, what’s your recommendation?
It should have some kind of library where I can see my ebook collection (with cover) and should save my reading progress.
Anything that fit my criteria?
Librera reader is pretty good. It’s also free and open source F-Droid link
Moon+ Reader is great if you want a library in your phone. It’s very customizable, too. But it’s not great with PDFs, and few third-party apps are. If you’re reading on a phone-sized screen, the official Adobe Acrobat app is the best for text reflow on PDF files. It maintains a lot of the formatting making it very comfortable to read. Unfortunately, nothing else about the app is that great and it won’t give you a good library view like you’re asking for.
I really enjoy Moon+ Reader
Me too!
The ability to customise everything is unsurpassed.
I personally like ReadEra. Fits all the criteria you’ve listed
Same here. I haven’t tried a lot of apps since ReadEra was the first one I tried and it was basically perfect for me.