Unfortunately, pre-1970s is not quite my era, so I can’t give you a heap of suggestions, but I think I can give you some tips to cut down your suggestions! It depends on the program you are auditioning for, but here are a couple of ‘Don’ts’ when it comes to audition songs:
You should not sing a song that is overdone or too well known, because when you stand up there to sing ‘How Lovely to Be a Woman’ and the panel has heard it ten times already, they’re already bored. This rules out The Fantasticks, Bye Bye Birdie, West Side Story, Guys and Dolls, My Fair Lady. You may just get away with Hair, Fiddler, YAGMCharlieBrown, The Music Man. It depends on the current musical trends in your area.
You should not sing a song that has been made famous by Julie Andrews, Ethel Merman, Barbra Streisand, etc. You can’t live up to their performances.
You should not sing a song with a difficult accompaniment. So basically no Sondheim (overdone anyway). (And no Jason Robert Brown, but you don’t have to worry about that for pre-1970s).
I suggest you look into She Loves Me, a musical by Jerry Bock. A Trip to the Library is sweet, or you could cut one of Amalia’s songs so you don’t have to sing anything too high.
Also, George and Ira Gershwin, Irving Berlin, Cole Porter, all have written great songs and not all are overdone in auditions.