There are probably a lot of plants that, while not actually poisonous to the point of causing illness, can upset your kitty's tummy.
Personally I always though most cats ate grass or other greens kinda like people use pepto or tums. To deal with an upset tummy. We had a cheese fiend cat who would always go munch the grass after she ate the rich cheese samples we gave her, mostly cause she couldn't resist. She would come running when the fridge was opened demanding 'cheese please!'. Knowing what I do now tht most cats are not tolerant of dairy products, that seems to make sense. She was an in/out cat so she got her grass outside.
I've never known a cat who particularly liked to nibble on spiderplants. They much prefer real grass, or the grain mix marketed for cat grass. I di have to ditch a Xmas cactus after Aya started nibbling the buds off.