Supernatural

Ashiya has spent the first seven days of high school stuck in the infirmary because of a "mononoke" attaching itself to him. He ends up asking the owner of a small tearoom - Mononokean - for help. A series of mysterious stories involving the very morose owner of Mononokean, who guides mononoke to pass on to the next world.

A youkai manga. There is a much deeper plot, which slowly unravels as the story goes on.

Touching, slice-of-life, youkai manga. Saying it's very good is an understatement. A must read.

Saitou Yakumo was borned with different eye colors. His red left eye gave him a special ability to see ghosts and spirits. He believed ghosts and spirits were bound to earth because of a certain 'cause' and simply by eliminating that 'cause' would those spirits rest in peace.

Exorcising ghosts. Actually, It's more of others killing ghosts and MC reaping the benefits from the side.

There isn't really a plot, so don't expect one. It's just about MC trying to get stronger and not get caught by those awakened people.