Sen to Chihiro no Kamikakushi, Kamichu! Recommendations
Similar art style and setting. The plot differ greatly though.
Both these anime draw heavy influences from the Shinto religion. Most everyday ordinary things are personified as kami. Both of the protagonists are young girls that find themselves in predicaments dealing with the kami. Both protagonists not only have similar situations but like personalities as well.
First time I saw Kamichu!, I felt some kind of a Miyazaki aura even though it wasn't. Kamichu! is a sweet series with a bit moe with the character design. Spirited Away has the youkai relation with Kamichu!
I think these 2 are actually very simulair.
both of them take part in a supernatural spirit-like world. next to a great story they bring you the strangeness and weirdness about these spirits.
both of them are also really sweet and cute. light stuff, good for all ages.
and they share a pretty simulair art style.
The only thing that really is different is the story-line.
But I think I can safely say, that if you enjoyed one, you probably also will enjoy the other.