Role playing allows you to take the role of a character in an imaginary adventure. Players then work as a team deciding what to do based on each person's equipment and abilities. Dice are used to resolve combat outcomes and successes at using abilities. Depending on the game you can be a thief, wizard, marine, superhero, gunfighter, or vampire. Look into Dungeons and Dragons, Vampire, Rifts, Cyberpunk, Star Wars, and many more.
Detailed rules allow for multiple types of troops and equipment.
No more arm chair quarterbacking as you decide the course of history a second time around. The new kid on the scene is the long line of collectible card games where specialty cards are not only used to play unique games, but are produced with different levels of rarity, and hence collectible. The more rare cards are often more powerful in the actual game. Cards are bought in 'starter decks' or supplemental 'booster packs' which give you a random mix of cards from the entire series with a guaranteed rarity distribution in each pack. Players then have to buy MORE and MORE cards since you never know exactly which ones you'll get.