I instinctively call Tables a Board Game -- when I think of "dice games", it tends to be ones where the dice are the main action, and that's a relatively modest grouping. But of course, that's influenced by the fact that I have fifteen years of habit categorizing things that way on the Period Games Homepage; I'm open to counter-arguments.

And yes, I tend to think of "trick taking" as a fine example of a family of card games, although the truth is that by the time cards became common, the family/species distinction appears to have been softening. That is, by the 16th century we're seeing a lot more games appearing that are distinct unto themselves, and fewer variations within a clearly-defined family. The Phyla still appear to be mostly distinct, but there's more variation going on inside each one...