Paint Your Wagon- I think because it's straightforward, it works better than Brigadoon. The side characters are side characters and aren't a big distraction from the main couple or the father-daughter relationship.
Brigadoon- The recent Encores production was excellent but the movie is middling and I don't think I'd enjoy an average amateur production. It's also... a lot. It's not an album I want to listen to in one sitting.
Camelot- Some great songs but it feels more like musical numbers strung together than a cohesive show in my brain. I've watched the movie and listened to the OBC album but never seen a staged production so maybe that would change my opinion.
Gigi- Meh. I remember enjoying the movie the first time I watched it but I rarely feel motivated to revisit anything from the movie or the score the way I do with the other shows.
Just the scores? Or the whole shows? Because MY FAIR LADY is the only one that has a great book (because it's 80% Shaw). Lerner's books to all the others are borderline awful.