StarFox 64 is more of a outer-space kind of game. It's basically about four fighter pilots named Fox McCloud (the Fox), Falco (the Falcon), Peppy (the rabbit), and Slippy (the frog). Their goal is to defeat an evil creature named Andross. Along the way, the team meets up with other good partners like Bill (the Dog). I honestly can't remember what the level is called where you meet him but all I can say about the level is that it's a little bit similar to the gigantic alien from the movie Independence Day.
I forgot to mention ROB the robot. He lets you know about oncoming enemies and alerts to you if you need assistance from the great fox ship. Another acquaintance you meet up with is Kat (the cat). Actually there are levels where you don't just fly in a ship. You can also ride on a tank on certain levels or cruise in a submarine on one level, but mainly otherwise you just use a ship to get through the game. There is going to be a situation when Slippy gets in trouble and gets her ship thrown down to a desert planet whil she's trying to help you defeat the evil robot boss on sector X. On the desert planet
you go through the level on a tank but when you finally reach to the boss on the level you'll notice that she's trapped in the desert level boss. As soon as you defeat the boss, Slippy is released and you have accomplised the level.
There are going to be some levels where you either accomplish it or complete it and what I mean about that is that if there is something you did wrong or forgot to do on that level, then at the end of the level you will have "completed" the level. If you didn't miss anything or didn't make any mistakes you shouldn't have, then you will have "accomplished" the level.
Now the main thing you need to do in the game is defeat Andross. There is a fake Andross and a real one too. The fake one is robotic and just eats at you but the real Andross is his brain. When you have defeated the real Andross you will have to escape from his lair but you get the help from Fox's father. On every level you go on you can receive a medal for each but you have to destroy a certain amount of enemies. On the screen of your game there will be tracker of enemies that you have destroyed. The numbers will currently be blue but when you get the right amount, the numbers will turn red and at the end of the level a medal will appear on that level you accomplished or completed.