As an animist, honoring my ancestors should be something important, but I've had a hard time working it into my rituals since I really started to embrace my animism. The biggest issue I have is that there are few family grounds (the closest are about 80 miles away, others are much, much futher. And because we've (the current family and its passed ancestors) not been animists or as far as I can tell, non-Christian, for hundreds of years, there are no family shrines.
But, in most animistic cultures, ancestor worship is one of the keys, because the ancestors eventually connect to all the other-than-human persons in the environment, as well as to the founding deities.