I love these jokes. I want to find more of them, and where Google fails dopers often provide.
An example:
A priest, a minister, and a rabbi met through an ecumenical radio show in their home town. They went for coffee afterwards, and through the course of conversation they learned that they all shared the same problem: they loved to play poker, but as moral leaders of the community could not be seen gambling, especially since it was illegal in their jurisdiction. They agreed to meet once a week in a rented room to fulfil their secret craving.
They met, they played, and they had a great time. Unfortunately, this was a small town and eventually word got out.
Their congregations began talking to one another and agreed that this was not a proper thing for religious leaders to do. They decided that the right course was to arrange to scare the holy men into ceasing their nefarious activity.
It was decided that the police (actually off duty cops from each of the congregations) would raid the weekly poker game and let the players off with a warning, thus scaring them out of ever doing it again. Sgt. O’Malley, Officer Smith, and Officer Rabinowitz were assigned the duty.
The next time the clergymen met, they were right in the middle of a particularly tense hand of seven card stud when there came a knock at the door.
Father Ryan swept the cards into a drawer and Reverend Jones knocked the chips off the table and kicked them under the bed while Rabbi Goldberg went to answer the door.
When he opened it, the cops pushed their way in. By this time, Father Ryan and Reverend Jones had a bible open and were quietly debating the meaning of a passage.
Sgt. O’Malley had been a cop for a long time, so he wasn’t fooled by the apparently innocent behaviour. “Father Ryan, we’ve had reports about illegal activities here”, he said, “Have you been gambling?”
Father Ryan replied “No, my son, of course not.”
Officer Smith stepped forward. “Reverend Jones, I hate to ask, but have you been gambling?” Reverend Jones put his best offended look on and said “Of course not, I’ve been discussing theology with Father Ryan all evening.”
Officer Rabinowitz locked eyes with Rabbi Goldberg. “And you? Have you been gambling, Rabbi?”
Rabbi Goldberg shrugged and said “With who?”
A much shorter example (aren’t you glad?):
A priest, a minister, and a rabbi walk into a bar, and the bartender says “What is this, some kind of a joke?”.
If you can find them, or make them up, I want to read them.