I will tell you the ones i know of. Mini hockey is only played in a half of a hockey field, or even smaller, and there are 8 that play. Field Hockey is played full field (the whole hockey field) and you have 11 players that play (including the goalkeeper). They are both similar in that they both play with hockey sticks and they are still a type of hockey. The same rules apply in both.
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Well for starters they both use a stick with a curved end. The aim of the game is to defeat the opposing team by getting the ball in the back of the net. You have to wear protection in both. That's all i can think of, let me know if this helps :)