Are there any rewards in Pagos that aren't materia?

[Nihility]

from what i understand, probably mostly wrong...

lower bunny fate can give two of the hakutaku eyes and two ingredients for the exp potion
upper bunny fate can give two of the eyes and stuffed bunny
regular lockbox gives two of the ingredients for exp potion and the glamour armor stuff, and furnishings
coldwarped lockbox can give the tarutaru minion, the cloth for making the male verison of lampshade glamour, one of the hakutaku eyes, furnishings, and shiver
king arthro can drop speedbelt
cassie can drop cassie earring and copycat minion
behemoth can drop behemoth horn or hide
hakutaku can drop optical hat if you have an eye cluster

but it's all tradeable so it's all crazy rare and coldlocked boxes are already annoying to get on top of the good stuff being rare

[Iscah]

the male verison of lampshade glamour

That is a worryingly accurate description of it!

[Myriads]

from what i understand, probably mostly wrong...
lower bunny fate can give two of the hakutaku eyes and two ingredients for the exp potion
upper bunny fate can give two of the eyes and stuffed bunny

Both Bunny Fates can give you Bronze, Silver or Gold chests. The possible contents of which are the same for both fates.

For example I got Stuffed Bunnies from Silver chests from both fates. I Got my Happy Bunny Card from a silver chest lower fate, but a party mate got it from the upper earlier.

The real difference between the fates is that the lower one has more HP on the boss to kill it, but if you are 35 you can get every possible chest with no real risk. The upper fate has less HP on the boss, but some chests are in the depth of corps hills or Lou's Cave and good luck on getting those. The spawn rate of chest types seemed the same across the two fates.

I did a ton of them for my Bunny card, I got two eyes, 4 stuffed bunnies and more material, water and sage to crush my choco under its weight, before the card dropped. I also saw 2 people get the cassie minion, and many others get eyes.

The grind of doing them is tiresome though. I found creating a PF for it was best. People would stick most of a lockout with such pre-mades.