Are there any religious texts predating Judaism that give record of angels?

Well..."angel" is (over-simply) the Latin translation of a Hebrew word that means "messenger", so any pre-Jewish writing that mentions "angels" would be, perhaps, ambiguous because any supernatural "messenger" in a foreign (non-Hebrew) language might be deemed an "angel", a "spirit", a "demon" or a "god" (or something else). We can say (from the strictest point of view) that the concept of "angels" first appeared in Judaism (or Yahwism).

However, the word "cherubim" - a particular type of Biblical angel - is witnessed in pre-Jewish writings and art:

http://en.wikipedia.org/wiki/Cherub#Origins

and the Biblical description to a great extent matches the Babylonian/Phoenician images.

In Zoroastrianism there were angelic beings called Ahuras.

The Enuma Elish, though the term "angels" is not used specifically. Any "beings that come from the heavens" should qualify though.