Kisaragi Sono manga
In the "Tsukuroiya" series: Volume 1: Awai no Mori Volume 2: Madoi no Tobira Within the boundary separating one world from the next, “rips” in the fabric of space will occasionally form. These tears allow the two worlds to bleed into each other, and, if left unattended, may threaten the everyday lives of the people living nearby. To find and repair these distortions, a seamster named Rem travels around the world along with his companion, a mechanical doll in the shape of a small girl. - Turtle Paradise
From Go!Comi: Taki thought he knew exactly what he was getting into when he accepted a job at the church as an assistant -- but the job description never mentioned dealing with zombies! When night falls, the mysterious priest Shikimi and his new assistant venture into the graveyard to destroy the freshly risen dead. The enigmatic priest always seems to know when and where these creatures will appear, and as the days go by, Taki begins to suspect that the danger may also come from within...
From DMP: At his classmate Mamoru Takayama's funeral, Mizuno runs into boy of the hour--Takayama! Takayama is apparently unable to rest in peace because he has a lingering attachment to this world. His unfinished business is to steal Mizuno's lips! Will ghost Takayama's wish be fulfilled!? Also featured in this volume is an epilogue of the story plus a bonus romance story entitled "Gift."