Discount BLAME! is about right, the near-immortal protag even has her own GBE.
Cool aesthetics, but when it comes to the narrative, at best it is this kind of sentimentalism that is ripe in post-apoc mangas - like, in thrity something chapters of this manga, there's been at least four robots who are stuck doing the same routine because it reminds them of their deceased owners; and at worst, it's when the manga wants plot to happen, because then we either get the most trite cliche, or stupidest ways to force drama.