What are the different religions that believe in angels short version?

Many Religions believe in angels including Catholics, Jews, and Muslims. So do many Eastern religions and shamanic practices. The Abrahamic faiths and deistic Satanists also believe in the existence of demons, and according to Christian traditions, demons are just fallen angels.

This depends on your definition of 'angels'. If you are referring to the common 'wings-and-halo' version, which is descended out of Christian myth, then the answer would be Christianity and Judaism. These two religions, having come from the same culture, share famous angels like Michael, Raphael, Gabriel, etc.

Many other religions have divine and spirits that serve similarly to angels -rescuing believers and delivering divine messages. They are sometimes even called 'angels', such as in John Dee's Enochian system of Angel Magick. Hinduism has Devas, which could be considered demi-gods or angels. Buddhism has faerie-like spirits that are called Aspara in India and Tennin in Japan. Islam, the Bahá'í Faith, Sikhism, and Zoroastrianism all have divine beings which are comparable.

Some modern religions such as modern Paganism and Wicca, incorporate aspects of other religions into themselves. This includes angels and other various and demigods which all encompass one general class of benevolent servants of the creator.