Planes being lofty, can indicate being up in your head or too logical with regard to how you go through life or with regard to the subject matter of the dream. Come down out of your head and let your heart have a say in decisions too.
A plane arrival or landing signifies your birth – your arrival onto the planet.
A plane crash signifies a difficult birth – one that was traumatic emotionally and possibly a life and death situation.
A plane departure signifies the beginning of a new project or phase of your life. Often these dreams show what is holding you back from the new project. For example, to dream of your partner forgetting your passport for the flight signifies there are problems in your relationship and you are blaming this for not getting the new project off the ground.
A fighter plane indicates you are an angry person – ready with a verbal arsenal to win arguments and defend your space. The dream will likely say how this came about and will be encouraging you to soften up.