This question came up during this weekend and I am neither a historian nor a theologist, so I might be entirely wrong.
I remember greek and roman gods (probably nordic gods, too. But I know nothing about them) as having character and an agenda, having favourites and so on. I would consider the story of Zeus and Europa or the story how Prometheus brought fire to humans, against the will of Zeus which led to the creation of pandora as such examples.
But if I think of the godly beings in Christianity, Islam and Judaism, I'll just see some form of "neutral" god. A creator with some form a values given to people as rules. But he is more of a judge than an active participant.
Another way to put this might be: Todays gods embody the good, while ancient gods were more ambiguous?
That depends very heavily on the religion, and it's possible for a religion to have an internalized view of an impersonal deity that another group thinks is a personified view.
You're asking about the transition from a personal god who shows favor, rather than an impersonal God that sets things in motion, right?
You might be better off asking this in a religion or anthropology oriented subreddit, rather than a history related one. This isn't to say there aren't historical dates of interest, but the question itself is open to some interpretation and wiggle room but it's very nature.
It's worth considering your own possible biases in this question. The abrahamic God definitely does show favor at various points, from divine blessing to outright slaughter of enemies.