One of my favorite games is RISK! I love the strategy and world domination. Only thing I don't like is how long it takes to play. A new RISK came out a few years ago with new rules, you can now complete a game in just a few hours. Which is a HUGE improvement.
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The also added in Cities and Army Capitols. Which all add to the strategy of the game.
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I played as Red, and early on I managed to capture Australia. Which is the easiest continent to hold.
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The Blue army managed to take over North America and quickly spread it's influence to south America.
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The Yellow army took over Africa and then South America, all but eliminating the green army and controlling their capitol.
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As in real life, one of the most bitter battles was in the middle east.
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I managed to capture and control Asia, which allowed me to spread into Europe and eventually win the game.
*My main strategy was always to leave at least 2 armies behind. It didn't really put the odds in my favor, and I would expand much slower. But when the enemy is deciding to attack or not, several territories with more than one army LOOKS daunting.