The Grimm Reaper is the personification of death, not necessarily the angel of death, but yes there are similarities.
In some cases, the Grim Reaper can actually cause the victim's death, leading to tales that he can be bribed, tricked, or outwitted in order to retain one's life, such as in the case of Sisyphus. Other beliefs hold that the Spectre of Death is only a psychopomp, serving to sever the last ties between the soul and the body and to guide the deceased to the next world without having any control over the fact of the victim's death. In many languages (including English), Death is personified in male form, while in others, it is perceived as a female character for instance, in Slavic and Romance languages.
The angel of death is usually portrayed as either the archangel Samael or the archangel Azrael (also spelt Izrail, Azrin, Izrael, Azriel, Azrail, Ezraeil, Azraille, Azryel, Ozryel, or Azraa-eel).