Both series have supernatural elements taking place in a similar setting where the main male protagonist's lives are changed forever after an encounter with a strange girl.
In both series, the main female protagonist is strange and has a very peculiar personality towards the main protagonist as well as other characters.
Both series adapts a supernatural theme so expect some elements that are out of this world. These often are mixed in with comedy, drama, and a little romance.
Both take a different approach to the usual supernatural battle genre. Suashi no Meteorite is still in its early stages but it already has a feel that reminded me a bit of Hoshi no Samidare. They both have a lot of comedy to start off, while slowly thickening the plot with a somewhat grim plot point. Also in a way both pairs of main characters have a codependent relationship that strengthens their bond fast.