Here's what Missouri says (
5. Notwithstanding other provisions of this section, a broker or salesperson's license shall be revoked, or in the case of an applicant, shall not be issued, if the licensee or applicant has pleaded guilty to, entered a plea of nolo contendere to, or been found guilty of any of the following offenses or offenses of a similar nature established under the laws of this, any other state, the United States, or any other country, notwithstanding whether sentence is imposed:
(1) Any dangerous felony as defined under section 556.061, RSMo, or murder in the first degree;
(2) Any of the following sexual offenses: rape, statutory rape in the first degree, statutory rape in the second degree, sexual assault, forcible sodomy, statutory sodomy in the first degree, statutory sodomy in the second degree, child molestation in the first degree, child molestation in the second degree, deviate sexual assault, sexual misconduct involving a child, sexual misconduct in the first degree, sexual abuse, enticement
of a child, or attempting to entice a child; (3) Any of the following offenses against the family and
related offenses: incest, abandonment of a child in the first degree, abandonment of a child in the second degree, endangering the welfare of a child in the first degree, abuse of a child, using a child in a sexual performance, promoting sexual performance by a child, or trafficking in children; (4) Any of the following offenses involving child pornography and related offenses: promoting obscenity in the first degree,
promoting obscenity in the second degree when the penalty is enhanced to a class D felony, promoting child pornography in the first degree, promoting child pornography in the second degree, possession of child pornography in the first degree, possession of child pornography in the second degree, furnishing child pornography to a minor, furnishing pornographic materials to minors, or coercing acceptance of obscene material; and (5) Mortgage fraud as defined in section 570.310, RSMo.
Hope that helps.