Pat and Mike must have been a pleasure for Katharine Hepburn to make because she got to show off her athletic ability which was considerable. Had she not decided to pursue a thespian career, Hepburn could have gone into either tennis or golf, she was good at both or any of the other sports named which she actually played. Later on as she entered the ranks of senior citizens, health problems curtailed her athleticism.
But she's having a whale of a good time her and playing with some of the best women athletes of the 20th century.
Hepburn's a college professor who's leading a rather dull life with a rather dull bore of a sweetheart in William Ching, who in a subtle way, belittles her.
In a rather unorthodox way she meets Spencer Tracy, a sports agent who very narrowly treads the line between the legal and the illegal. She makes a believer out of him that you actually can make decent money legally.
The usual Tracy/Hepburn charm is running on all cylinders. Pat and Mike ranks in the upper division of their screen teamings. I'd say that this was more her film than his though.
A lot of familiar faces are in the cast. Look for Charles Bronson playing a hood and Chuck Connors playing a small town sheriff. Both of them make themselves noticed here which led to long careers for the two of them.