The second hole at Stanley Thompson designed Sleepy Hollow (near Cleveland, OH) is a 235 yard par 3 with a very narrow green. It plays 220 from the regular tees. The front portion of the green has some pretty significant slope to add to the challenge.
One that I don't think has been mentioned yet is Jasper ... that fourth hole was a driver for me.
No one has mentioned any of my courses yet; I've never thought about this as a topic. Off the top of my head:
5th at Black Forest is the first short hole there, and one of the longest I've ever built.
4th at Beechtree was a long 3, but the 2nd hole was also a par-3.
2nd at Stonewall (North) is the longest-playing par-3 [not sure about the card], and certainly the hardest.
4th at Sebonack is the longest of the par-3's.
2nd at Aetna Springs is quite long, even though it only has one competitor.
But that's only five out of my 35 courses, and none of the most highly-ranked ones. So I guess I don't think this theory is anywhere near a requirement.
P.S. The 1st at Walton Heath was a short par-4 when I first saw it. The tee was behind the road that comes off the highway to enter the club, where there is just a practice green now. That was really dangerous, so that tee was abandoned a few years ago, and the hole switched to a par-3. I think they maybe always played it as a par-3 in tournaments because of the road issue.