(There are many exceptions that do use die/dice, but for those that have not played board games invented after Monopoly, the idea of a board game that does not have die-introduced randomness may be quite foreign.)
They are usually sitting right in the middle between entirely abstract games like backgammon and "simulation" games like Risk or Monopoly. There is usually some theme, but gameplay considerations (mostly revolving around keeping the game interesting for those not on an obvious path to victory and balancing luck vs skill, hence the mention in this thread) are far more important in the design than adhering to that theme. Sometimes it even seems as if the theme was not serving as inspiration for the rules but it's only a skin pasted over the bare rules after the gameplay had been tweaked to perfection.