In churches in my Catholic diocese, we need to have several state background checks (consistent with PA state law for volunteers of any sort who have direct contact with children) and several other trainings/clearances.
EVERYONE GETS THEM. Employees? Yes, as a condition for employment. Sunday school teachers? Definitely. Youth ministry? Yep. People who read the Scripture lessons and serve as ushers for Mass? Them too. The ladies who make pierogis as a fundraiser? Even them, and they have become the platonic form of “’Everyone needs to get clearances’ means EVERYONE.”
We would include the Sunday School workers, employees and officers (Elders, the closest RC equivalent being the permanent Deacons) and Deacons (which again the permanent deacons being the closest RC equivalent but probably a step below in both training and duties to the RC office) but not the ushers unless they fall under one of the other categories and collaterally serve as ushers.
No congregation, no matter what the precautions, is immune; What is important is taking all possible precautions, enforcing the rules for everyone, and most importantly, as we've seen from what has happened most notably with the Catholics, don't try to cover up or brush under the rug when something does happen.
For the record, I can come up with scandals linked to Baptist, Presbyterian, and Hare Krishnas in the Dallas area (and, of course, RC) without having to expend any effort. Now, the only scandals I can think of with regard to the Methodists in Dallas and in Fort Worth have involved adult women.