 If you liked
Meteor Methuselah
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 ...then you might like
Mugen no Juunin
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They both about a man who is plagued with immortality, trying to find a way to become human again and both meet a girl on their journey and start travelling together. But that's the only thing in common, as they are completely different in feel and genres.
Both have the same basic concept of an immortal man hanging around a young girl. The girl becomes too attached regardless of the immortal's protest and we have a traveling duo for the story, which occasionally becomes a trio with the supposed villain joining them on & off for the ride for various reasons.
The story develops different for both though, as Blade of immortal is Seinen, Immortal rain is Shojo. Immoral Rain is good for easy drama, action and popcorn entertainment. Blade is heavy serious shit, but no less entertaining.