I make an eggless (Philadelphia style) vanilla that is pretty well received. It's not as rich as a custard, or French style, but it is very tasty.
I use:
500 ml heavy cream
250 ml whole milk
100g granulated sugar
a heavy pinch of salt
1 vanilla bean (I've only used Madagascar vanilla, but I hope to get my hands on some Mexican beans soon)
3/4 teaspoon of vanilla extract.
Cut the vanilla bean in half lengthwise and scrape out the pulp/seeds.
In a medium saucepan, heat 250ml of the heavy cream, the sugar, and the scraped vanilla bean (add both the seeds and the pod), stirring constantly until the sugar is dissolved.
Add all of the remaining ingredients to the pan and remove it from the heat. Put a lid on it and stow it in the refrigerator until thoroughly chilled.
Remove the bean pods from the mixture and churn in your ice cream machine per the manufacturer's instructions.