Closing this as fixed.
We checked in on Private - VIP missions as mentioned above. There are currently a small number of Private - VIP missions available in the world. You may not see one pop up for a particular day unless you have unlocked certain required zones (such as Dubai). Locations where you may see one pop up include Shanghai or Rio during specific times.
Our team will work to increase this number in a future update due to the feedback.
If you encounter other missing mission types, please create a topic for it if one is not already made so we can investigate.
Thank you!