Let's take your more relaxed definition as it allows great songs by great songwriters:
Hoagy Carmichael:
https://www.youtube.com/watch?v=Xxq4a3oAPWk
Bacarach & David:
https://www.youtube.com/watch?v=jqWt49o7R-k
Hoagy again:
https://www.youtube.com/watch?v=IgbPHTBiAVQ
And this corker that...