Words ending in "mit":
* Commit: To pledge or bind oneself to a course of action.
* Emit: To send out or give off.
* Submit: To yield to the power or authority of another.
* Transmit: To send or pass something along.
* Permit: To allow or authorize.
* Admit: To acknowledge or confess.
* Remit: To send money.
* Limit: To restrict or confine.
* Summit: The highest point.
* Dimit: To dismiss or discharge.
Words ending in "miss":
* Dismiss: To send away or discharge.
* Remiss: Neglectful or careless in performing a duty.
* Miss: To fail to hit or achieve.
* Amiss: Wrong or out of place.
* Aegis: Protection or sponsorship.
* Bliss: Perfect happiness.
* Kiss: To touch with the lips as a sign of affection.
* Misshapen: Deformed or irregular in shape.
This is not an exhaustive list, but it gives you a good starting point for words ending in "mit" or "miss".