Our bun seems to recognize food names, i.e. parsley, apple, pellets.
If I say it to him, he often licks his chops and gets very excited and alert, quickly coming up to me. I taught him this by saying "apple" repeatedly when he is eating, or saying "parsley" repeatedly when he is eating. Of course, I only give him apples/carrots/bananas VERY rarely, because they are not very good for his digestive system and tend to contribute to bloat.
He also often comes running toward us when we call his name and say "come, come!" and reward him by petting his head (which he loves) when he comes to us.
He also knows how to perfectly dodge through table legs and chair legs placed about in the room at a SUPER high speed without crashing into any of them! He often races in the evening. He seems to have a mental "map" of the entire room layout.
We also have a large cage (for him to go in at night) that is constructed of squares with large spacing and other squares with small spacing. He recognized the squares with the large spacing and actually chewed a huge hole on his litter box to poke his head through the squares with the large spacing.
He also chewed a hole only in *one* side of his bunny cabin (but not the other side) because he wanted to have a "lookout" post toward the area that we are most often sitting (in the dining room).
So many other things that I can't think of right now!
In effect, rabbits can be very clever, intelligent, loving and social animals, who can be affectionate to their owners if spent a lot of time with and given interaction and good mental stimulation (i.e. new toys, new towel textures, cardboard tubes and boxes, different shaped balls, etc).
We pet our rabbit a LOT, and make sure he gets plenty of exercise (at least 4-6 hours outside of the cage each day, i.e. in the evening). Exercise is important to rabbits (and humans!!) for increasing intelligence. If a rabbit is kept cooped up in a hutch all day, just like a human or any other animal, the intelligence will suffer!