If you liked
Old Home no Haibane-tachi
|
...then you might like
Serial Experiments Lain: The Nightmare of Fabrication
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Both are short works by Abe Yoshitoshi, a four chapter dōjin and a one shot respectively, but coming from the same author/artist, you will see standard likenesses amongst his character designs and stories' feels.
If you liked
K-On!
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...then you might like
So Ra No Wo To
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Stylistically, there is a great deal of similarity between the character designs and personalities somewhat. Even from early on in the series', you can tell that the two just match up. If the style of one appeals, chances are the other will be worth a look as well. The stories may be somewhat dissimilar, but both involve a group of girls, in one case a music club, and in the other an army regiment, and their music.
If you liked
Uchuu no Stellvia
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...then you might like
Planetes
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In both series, we follow a girl excited to be beginning life in space aboard a space station, as she develop her space skills from novice levels, helps the people of Earth and space, and finds drama and romance.
If you liked
Mahoromatic: Motto Utsukushii Mono
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...then you might like
Koutetsu Tenshi Kurumi
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Both are series about two powerful maids, in Mahoromatic an android and a cyborg, and in Steel Angel Kurumi two androids, living as sisters in the service of a young boy. The maid androids in either series have some similar personality quirks, and struggle against enemy forces.