Those lists are meant well, but pretty useless. A call to caution for beginners, but reading too much without reflecting about it can make one paranoid. Just random stuff off the internet without much knowledge.
Appleseeds? You would have to stuff several pounds of that seeds into a rabbit at in one go to get some toxic effect (after the rabbit exploded), those glycosides are commonplace in many plants and can be tolerated well in small amounts.
Ivy? Sure, lots of different spieces and some might be a problem, but all my ivy got eridicated by my rabbits nibble by nibble, they know what they can stomach - they do eat slightly toxic stuff for medical reasons when they are used to chose from a veariety of plants, like when they can roam the garden and pick. Most plants with some medical properties have some kind of toxins, but either not in worrying levels or they simply don't eat it. It's the way plants defend themself, and rabbits as apex predators in that regard have evolved to deal with a lot.
Morning Glory is an umbrella term, and bindweed alone has, what, 650 spieces? The species around here are all good and well liked rabbit food.
Buttercup family, huge too, and mostly harmless when some gets mixed in their food. Especially in hay since this toxin detoriats when dried.
Lilies are fine, most types I would say. Cally Lilies are not lilies at all, Lily Of The Valley niether, and Peace Lilies are something completly different too, just because some toxic plants are inadequatly named doesn't make lilies toxic - mine have a hard time outgrowing being eaten every spring.
In this list are some really toxic stuff, mostly decorative plants, mingled with harmless things. Apart from Hemlock (quite rare) and Yew I would just be careful about every decorative plant a rabbit gets access to and read up if it is toxic.
This all sure is locally different, but for rabbits not used to foraging the biggest danger are decorative plants in the house, without practice they can enjoy that fresh green too much easily.