I would trust the NTFS driver pretty implicitly at this point both for read/write; it's based on NTFS-3G, and following the rewrite I did of the Haiku-specific parts of it in late 2021, appears to be very solid in testing.
The EXT2/3/4 driver is also very good, but there may be some issues remaining there. However I haven't heard reports of it destroying data.
The FAT driver, on the other hand, has some cases where it has been known to corrupt directories. It could probably use a rewrite; most of its code dates to the 1990s...
Those are the "big 3" of other filesystems, anyway. I don't think there's a status page for all of them.