In no particular order:

The Awful Truth -- https://www.youtube.com/watch?v=NbJVYtFwcHA (best part starts at 1:55)

Double Wedding

The Last of Mrs. Cheyney

Grand Illusion

Lost Horizon

Nothing Sacred

Snow White and the Seven Dwarfs

Topper

Wee Willie Winkie

Heidi

Of the titles the two of you have listed, ones I especially like are (in alphabetical order):

• The Awful Truth
• Captains Courageous
• Dead End
• Heidi
• Make Way for Tomorrow
• The Prisoner of Zenda
• Snow White and the Seven Dwarfs
• Wee Willie Winkie

An additional very good 1937 film is Confession (Kay Francis, Basil Rathbone, Ian Hunter, Jane Bryan).

Good choices, all.

(Alphabetical Order) -

• Dead End, directed by William Wyler, starring Sylvia Sidney, Joel McCrea, Humphrey Bogart, Claire Trevor
• Easy Living, starring Jean Arthur, Ray Milland and Edward Arnold
• In Old Chicago, starring Tyrone Power, Alice Faye, Don Ameche
• Lost Horizon, directed by Frank Capra, starring Ronald Colman and Jane Wyatt
• Shall We Dance, starring Fred Astaire and Ginger Rogers
• Stage Door, Hepburn, Ginger Rogers, Lucille Ball, Eve Arden, Ann Miller, Gail Patrick, Constance Collier, Adolphe Menjou
• A Star Is Born, starring Janet Gaynor and Fredric March
• Stella Dallas, Stanwyck
• Snow White and the Seven Dwarfs
• Wise Girl, starring Miriam Hopkins and Ray Milland

(Honorable Mention) -

• Maid of Salem, starring Claudette Colbert and Fred MacMurray
• Maytime, starring Jeanette MacDonald and Nelson Eddy
• Nothing Sacred, directed by William Wellman, starring Carole Lombard and Fredric March
• On the Avenue, starring Dick Powell, Madeleine Carroll, Alice Faye, with songs by Irving Berlin
• Wells Fargo, starring Joel McCrea, Frances Dee

(Among those already cited) -

• Make Way for Tomorrow, directed by Leo McCarey, starring Victor Moore and Beulah Bondi
• The Awful Truth, directed by Leo McCarey, starring Irene Dunne and Cary Grant and others also very good.

The only film I've seen from 1937 is Snow White and the Seven Dawrfs. So, er... I guess that's my favourite.

1. The Prisoner of Zenda
2. Captains Courageous
3. Topper
4. Make Way for Tomorrow
5. Lost Horizon
6. Stage Door
7. Tovarich

And... that's all I could come up with.