The beast below was always a favorite of mine, and I think that would be great for one of their first adventures together. The end of the world is also one that I like and I'm kind of interested to see how Max would react to meeting Cassandra. (Probably by poking her or something like that.)

Since the basic Autons look like mannequins, I was thinking that maybe Max and the Doctor could head to come place like New York (One of the larges shopping cities in the world) and the Autons would invade.

I agree with you when it comes to the Daleks and the Cybermen. I think they're a bit too much to face in the first few adventures, and I think that Max should have some time to explore the universre before facing those two races of killers.