Numbered but not ranked, here’s what I could think of in twenty minutes. I debated including The In-Laws; it depends whether you think it’s about the romance between Alan Arkin and Peter Falk.
I need an all-gay screwball comedy.
1. Trouble in Paradise (1932), dir. Ernst Lubitsch
2. The Palm Beach Story (1942), dir. Preston Sturges
3. A New Leaf (1971), dir. Elaine May
4. Midnight (1938), dir. Mitchell Leisen
5. Shampoo (1975), dir. Hal Ashby
6. A Summer’s Tale (1996), dir. Eric Rohmer
7. Groundhog Day (1993), dir. Harold Ramis
8. Eat Drink Man Woman (1994), dir. Ang Lee
9. What Have I Done to Deserve This? (1984), dir. Pedro Almodovar
10. 10 (1979), dir. Blake Edwards
11. Manhattan Murder Mystery (1993), dir. Woody Allen
12. The Young Girls of Rochefort (1967), dir. Jacques Demy
13. Tampopo (1986), dir. Juzo Itami
14. Say Anything (1989), dir. Cameron Crowe
15. I Love You Phillip Morris (2010), dir. Glenn Ficarra and John Requa
16. His Girl Friday (1940), dir. Howard Hawks
17. Frances Ha (2013), dir. Noah Baumbach
18. Twentieth Century (1934), dir. Howard Hawks
19. The Apartment (1960), dir. Billy Wilder
20. Smiles of a Summer Night (1957), dir. Ingmar Bergman
21. Together (2001), dir. Lukas Moodysson
22. She’s Gotta Have It (1986), dir. Spike Lee
23. Pierrot Le Fou (1965), dir. Jean-Luc Godard
24. Tootsie (1982), dir. Sydney Pollack
25. It Happened One Night (1934), dir. Frank Capra
26. Damsels in Distress (2012), dir. Whit Stillman
27. Raising Arizona (1987), dir. Joel Coen
28. My Man Godfrey (1936), dir. Gregory La Cava
29. Something Wild (1986), dir. Jonathan Demme
30. Grosse Pointe Blank (1997), dir. George Armitage
31. Head-On (2004), dir. Fatih Akin
32. Flirting with Disaster (1996), dir. David O. Russell33.
33. Theodora Goes Wild (1936), dir. Richard Boleslawski
34. Clueless (1995), dir. Amy Heckerling
35. How Stella Got Her Groove Back (1998), dir. Kevin Rodney Sullivan
Humanizing The Vacuum 
Give Robespierre’s Landline a look.
I have and hated it. I posted a review on this site.