The Game: In probably the weakest of the Master Series games – Odyssey games which included overcomplicated board game elements, a la Quest For The Rings – you control one of the world’s superpowers, attempting to gain as much influence as possible through political and economic means and, where necessary, warfare. (Magnavox, 1980)
Memories: Well, that’s what the blurb on the box said. When you ditched the magnetic world map and markers and the colorful chips representing your nation’s influence and power, Conquest Of The World‘s video game component was, essentially, little more than an elaborate Odyssey2 version of the Atari 2600 Combat game, with added terrain and vehicular options and fewer goofy options like bouncing artillery. 
In my mind, at least, it was always very difficult to give any kind of Avalon Hill war-game flair to something that was basically Combat.
Not to say that it was a bad idea; Conquest Of The World would’ve been much better if more of the game play, more of the strategy, could’ve taken place digitally. As it was, 
it was sort of like a confusing present-day version of Risk, and when armies collided on the game board, they duked it out mano-a-mano, or, perhaps, blip-to-blip, briefly in the video game portion of the game.
