When Arietty is in Pete's room, the plastic figure she knocks down is 'Little Bear' from The Indian in the Cupboard (1995).
When Pete has captured Arietty, he puts her in a goldfish bowl. The bowl is standing on top of a the book "Gulliver's Travels" by Jonathan Swift. This also foreshadows the scene where Ocious Potter is subdued by the Borrowers at the end of the movie.