hit upon

don't let the door hit you on the way out

Used as a command to leave in haste, or to indicate that one is glad, or at least unmoved, to see the addressed person leaving.

fall out of the ugly tree and hit every branch

To become extremely unattractive.

hit a lick

To earn a large sum of money in a short amount of time, usually illegally.

hit a snag

To encounter an unexpected problem or delay.

hit a wall

To come up against an insurmountable problem.

hit above one's weight

Alternative form of punch above one's weight.

hit and run

Sexual intercourse followed by a prompt departure; a one-night stand.

hit below one's weight

Alternative form of punch below one's weight.