A game is usually a structured form of play which is undertaken for fun and amusement. A game can be several things such as a football game, a board game or a video game! It normally has rules you have to abide by to make sure it is fair and gives no one an advantage.
The main thing a game should be is fun and fair. After all, what's the point of playing a game that isn't enjoyable! If a game isn't fair it can create a hostile environment and tarnish the representation of it and if one person has a considerable advantage given to them then the chances are that it is not fun. Also, goals are a very big portion of why people play games in the first place, when you finish a level or achieve a certain rank you are supposed to feel good and accomplished, and if a game has a long-term goal it can make the game have increased replayablility and on people can play more on a regular basis.
Video games are the modern era for games. They are digital and can be played on various different devices!
Board games are still popular but have kind of been disregarded as video games have taken their spot, they are usually directed towards families as bonding time.
Sports are physical games and they usually involve in some kind of heavy exercise such as football, boxing etc.