All the patents and "sekhurity" isn't helping. A decade ago, I ended up with a bunch of programmable NFC stickers that my Galaxy S7 suddenly wasn't able to read, because some MIFARE intellectual property issue retroactively bricked this class of NFC stickers. Good luck figuring out where on the compatibility matrix the Amazon listing you're looking at is.
MIFARE (classic) tags were never really compliant with any industry standard (whether freely available or patent-encumbered) and are not actually NFC tags, so many systems betting on that but later wanting to e.g. change reader chip vendors ended up with issues such as this. (There's a way of writing NFC/NDEF-formatted data to them, but it's only readable by NXP chips.)
If you buy any standard NFC forum tag, chances are pretty good that it'll work with any Android or iOS device. The Ntag series has worked pretty well for me on both OSes and across various phones; I have one that instantly and cross-platform rickrolls everybody tapping it.
