As I read Crimson Grave it reminded me of Kaze No Stigma, the characters and plot is very similar.
Kaze No Stigma & Crimson Blade:
-guy is shunned from clan/group
-accompanied by someone from the group/clan that shunned them
-had someone special to them killed before their eyes
-companion is strong and uses a sword
-guy is perverted (not a huge pervert like Tomoki from Sora no Otoshimono though -.-)
-both contain fighting and magic genres
If you enjoyed reading one of these mangas I highly recommend that you read the other. Although Crimson Grave is still publishing, Kaze no Stigma also has an anime adaptation if you are interested.
both main character are demons who are hated around the world as something evil because they rebel against the church/god. But in reality they are both good person who are actually trying fight for the world even if it means being hated by the entire world.
the point of these adventure mangas are to travel and find what they are looking for. both are fantasy action filled.
the differences are crimson grave has more ecchi and drama and rave has more comedy