Conversation so far:
What happened in 1940 to Fred Astaire?
In the 1940s Fred Astaire was drifting to an early retirement.
What Broadway shows were Fred Astaire in?
The Fred Astaire broke into Broadway in 1917 with Over the Top, a patriotic revue, and performed for U.S. and Allied troops at this time as well.
Who else did Fred Astaire perform with besides his sister did he perform with?
Claire Luce
How were Fred Astaire performances received?
According to Hollywood folklore, a screen test report on Fred Astaire for RKO Radio Pictures, is reported to have read: Can't sing. Can't act. Balding. Can dance a little.“
So what did Fred Astaire decide to do after the screen test report for RKO Radio Pictures?
However, this did not affect RKO's plans for Fred Astaire. They lent him for a few days to MGM.

Question: What were the names of the pictures?
Self-contained rewrite: What were the names of the MGM pictures by Fred Astaire?