I loved when Hawkeye mentioned that Father Mulcahy looked like a B girl he used to know, and Mulcahy quips "It's quite possible. I worked my way through divinity school as a B girl in San Francisco." Just how he nonchalantly says it, and Hawkeye trying so hard not to laugh out loud. I also like when the nurse that had a crush on him is also one that Hawkeye has a crush on. Hawkeye says "I have stuffing that's aching to be hugged." And Father Mulcahy quips "Well you know what they saySome guys got it, and some guys don't."

The Protestants VS Catholics basketball game.
Nicko McBrain of Iron Maiden is a Brony

when Father Mulcahy called the cook a Ninny

His back and forth with Winchester over The tax forms of the Winchesters and the Emerson's. in the mess tent in "None Like It Hot".

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I always loved the quiet strength William Christopher brought to Father Mulcahy.
His performance in "A Holy Mess" was one of his best, but he absolutely blows me away every time I watch his heart-rending sermon at the end of "Blood Brothers." Some of the finest acting ever on the show.
And his final attempt at writing a Korean war song always moves me as well.

The episode in which he tries to write a Korean War song.
That would be "Dear Uncle Abdul" Season 8.
Destroying an empire to win a war is no victory and ending a battle to save an empire is no defeat

The episode in which he tries to write a Korean War song.

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4. His sermon in "Blood Brothers".
5. When he was talking to his idol "Gentleman" Joe Cavanaugh right before he gave him the last rites.
   These are my two favorite Fr. Mulcahy moments.

You mentioned my favorite by a nautical mile, #4 the sermon from blood brothers.
I still cry like a baby when he admits his own pridefulness in wanting to impress the bishop then comparing his behavior with the soldier who was facing (at the time almost) certain death from leukemia yet wanted to stay behind to be with his wounded buddy. "He wanted I I wanted" just tears my heart wide open.

How about when he beat the guy from the 8063 (was it Jackrabbit Masters? maybe) in the race to win money for the orphanage and then makes everyone else donate their winnings at the last second. "Then they're not winnings they're losings."
He and Charles had some good heart to hearts too even though both were from different religious sects.

You've named many of my favorites, so I'll just add the moment in the black & white documentary-style double episode where Father Mulcahy describes how, in cold weather, surgeons would warm their hands over steam from the opened bodies. He rightly looked shocked, as that was a true story.
RIP

1. His conversation with Hawkeye about Nurse Harris hugging him in "Nurse Doctor".
2. All of "Dear Sis".
3. Saving the soldiers life in "Mulcahy's War".
4. His sermon in "Blood Brothers".
5. His drunken sermon in "Alcoholics Unanimous".
6. When he was talking to his idol "Gentleman" Joe Cavanaugh right before he gave him the last rites.
7. Dealing with the AWOL soldier in "A Holy Mess".
8. Singing while he was mixing putty in "Cementing Relationships".
9. When he and Winchester found a way to get the supplies back from the black marketers who kept them and Charles' wine in "Out Of Gas".
10. Being a counter weight for the chopper pilot in "An Eye For A Tooth".
    There's more but I'll go with these top ten for now.

His temperance lecture while he was drunk. I can't remember the name of the episode though.
Him saving that guy's life in Mulcahy's War.
Him having his moments of doubt after going deaf in Goodbye, Farewell, Amen
Him having issues with his deafness as well while laid up at his sister's (the sister) place on the first episode of AfterMash.
Alot of my other favorites (Like the "She hugged the stuffing out of me" thing from Nurse/Doctor) have already been listed.

Now I lay me down to sleep,
A bag of peanuts at my feet,
If I die before I wake,
Give them to my brother Jake.

Because it aired recently, I love the moment in "Period of Adjustment" when Padre tells Col. Potter the story of Radar's early days of being company clerk and how he flourished when Henry took him under his wing, and how Sherman should extend Klinger the same patience. Also never forget that he lost his hearing trying to rescue the pen of POWs. He truly deserved that promotion.