As of yet, it is unsure what other editions will be available. The link below will be updated if there is any news on other editions other than the standard one.
You can pre-order the Call of Duty: Black Ops 4 Standard Edition. We don't have any other info to announce at this time.
There is a Specialist Edition, currently only available at Game -
Pre-order Call of Duty: Black Ops 4 Specialist Edition and get access to the Private Beta, Bonus Digital Items* and 1100 Call of Duty® Points