I like the
Bishop's Wife
more than either.
All five nominees for Best Picture in 1948 were pretty good:
Gentleman's Agreement
The Bishop's Wife
Crossfire
Great Expectations
Miracle on 34th Street

I can believe it. Gentleman's Agreement is a very good film.
I'd give it a slightly higher rating than Miracle on 34th Street.

C'mon!
I don't know who was competing, but this movie is very, very flawed. No "Christmas Favorite" or 40s appeal can hide that.

Many times the Academy goofed; sometimes I think they are persuaded by Billboard ads to vote for certain films and there are suggestions they are somehow bribed to vote a certain way. We will never know. A list could be made of goofs the Academy made for many awards, especially Best Song and Best Picture. The most memorable films rarely win for Best Picture. Remember ET lost to Gandhi; they prefer high-brow films to films which appeal to most audiences.

Uhas it is now, so it shall be for the futureyou make any movie about da' Jews or Holocaust you will be blessed with gold.

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I'm glad Miracle on 34th Street at least won for Best Actor in a Supporting Role, Best Writing, Original Story, and Best Writing, Screenplay. But it deserved Best Picture. It lost to such an inferior movie. I don't recommend Gentleman's Agreement at all. It was far from great and it was very dull. Especially dull in comparison to Miracle on 34th Street.
I saw it twice and for the life of me, I could not figure out how it beat such a great movie like Miracle on 34th Street. It's one of my favorite movies too. I make sure I watch it every Christmas Eve or Christmas. For me, it doesn't completely feel like Christmas until I watch Miracle on 34th Street and my all-time favorite movie It's a Wonderful Life.

I haven't seen Gentleman's Agreement, but I wouldn't worry about the award. We see these almost 70 year old films through 21st century eyes and mores. Tastes change.
FWIW, Miracle (1947) is one of my favorite films of all time.