History of the World is a fine game from Avalon Hill. It's distributed by Hasbro now, and it's one of the rare Avalon Hill games that Hasbro managed to improve when they "cleaned it up".
History of the World uses dice to simulate combat, and they do so in a way so as to intentionally skew the likelihood of success toward the attacker. There are, however, various terrains (mountainous, ocean straight, forest), types of attack (amphibious), bonuses (strong leader, elite troops, forts, weaponry, etc.) which can affect the success rate of an attacker.