If you liked the My Neighbor Totoro anime, the Anime-Planet community thinks you'd like:
One day, Uehara Kouichi digs up a stone by the side of a river, and when it breaks in half he finds a fossil inside - or so he thinks. The fossil is actually a Kappa that was trapped in the earth hundreds of years ago; it is revived when Kouichi washes the stone. When his family allows Kouichi to keep the Kappa, much to his bratty little sister’s annoyance, he affectionately names it Coo. But even though the Uehara family helps Coo regain his strength, and even battle him in an odd sumo match, Coo longs to find more of his kind. However, after following a few leads on where they may find more Kappas, Coo becomes the centre of a media storm, turning his life upside down. Will Coo ever be able to escape the constant hounding of the press, and can he find his place in this new world?
The main focus of both of these films is the friendship between a young child and a supernatural creature. While Totoro has a more light-hearted nature to it, noth show an everyday adventure with a supernatural twist. If you enjoyed one it is worth at least trying the other.
Both movies might be Ghibli productions, but the real reason for this recommendation is the fact that they share a similar style of storytelling. If you enjoyed that part in either of those movies, there is no way you're not going to love it in the other one. What's so special about the storytelling? You learn various details about the characters, setting etc. in a somewhat chaotic order, but it all works out in the end. This is the type of storytelling in which the less you know before watching the movie, the more you can enjoy finding out and figuring out those various details.
Legends tell of a floating island in the sky known as Laputa, upon which is rumoured to be treasure beyond a person’s wildest dreams. Sheeta is an orphan girl who is being hunted down because of her necklace, a rare Levistone, which legend says will lead the way to Laputa. One day she is saved by Pazu, a miner apprentice and also an orphan, and together they set out to escape from her would-be captors. Unfortunately, their friendship must go through endless trials in their quest to hide Laputa's location. What is Sheeta’s mysterious legacy, and what hidden motives do Sheeta’s enemies have in regards to finding Laputa?
Both movies have excellent plots and characters, also they both have heart warming story lines.
The one thing to note is that Totoro is a little more child friendly, while Laputa has more serious themes.
That put aside, if you enjoyed one, you'll definitely enjoy the other.
In the future, aliens coexist freely with mankind on Earth. One such alien is NieA, a lazy yet spirited girl who wastes away her days while living with the studious Mayuko. And life isn't easy... Mayuko is always short on food money, the spa where she works is about to go bankrupt and Mayuko's alien-crazy friend Chiaki is obsessed with NieA. A light, mostly comedic slice-of-life show.
Niea Under 7 is about a girl who encounters an alien. With this alien is a whole habitat of foreign creatures. Like in Totoro, there are other people just like her (the alien). I could give you more information, but that would be too much of a spoiler.