Is there a "bible" in Zoroastrianism?

In Zoroastrianism, is there a sacred book or book of teachings or anything?

There probably is, I suggest you Yahoo it and see what turns up.

There is a holy book in Zoroastrianism, it's called the Avesta. It Prue-dates the Bible, so perhaps it is more accurate to say the Bible is the Avesta of Christianity.

Yes there is, the Avesta.
The Avesta is made of several texts. The most important one is the Gathas, believed to have been written by Zoroaster himself.