[yamtaddle]

The Apple Books version wasn't just a static animation—you could partially flip the page, flip it back, make just the corner flip up a little then push it back in place, et c., all with smooth and responsive enough operation that it was close-enough to feeling like a real, physical thing. The "back" of the page, as it flipped, showed the text from the front as if it were showing through thin paper, it wasn't just blank. Lots of apps have page flip animations but most of them are both non-interactive and bad. Apple's was interactive and good. Dunno if Kindle's is as good—I used it long ago and my recollection was a slow, ugly, non-interactive page flip animation, but it may have changed since then.

[EDIT] Two key real-book-reading behaviors this enabled, that a non-interactive page flip animation (which I personally find a ton worse than no animation) does not:

1) You could "play" with the corner and edge of the page while reading. Great for fidgeters, and analogous to what some of us do when reading real books.

2) You could start to flip the page as you were nearing the end of the current page.

[frosted-flakes]

Kindle's animation is pretty good, and I did that fidgeting thing with it all the time. I've never experienced the stuttering on Android that the OP has on iOS. It also shows the text bleeding through the back side of the page.

But the animation is disabled by default and lately I've stuck with the regular sliding animation because it's faster and much less obtrusive. It also lets you start turning the page as you're reading the last line.