Most board games fall into a mixture or either of these categories:
Some examples of pure luck would be:
Bringing back some memories!
You may also find pure strategy games like:
Chess and Stratego, two games that really showed how well you can really plan.
Board games can fall into a mixture of two categories, like Monopoly!
An easy way to lose all your friends!
However, most games that you'll find are a mixture of all three categories with some leaning heavier on one or two traits!
Good ol' Catan.