The men in the office were envious of Jun-san; his fiance was quite a catch.
Catch-22
An illogical situation
Recent university graduates find themselves in a difficult situation: they can't get hired without previous job experience but they can't get job experience unless they are hired.
Catch on
To become aware of, to figure out
Sekiguchi-san was joking but Higuchi-san was the only one in the office that didn't catch on.
Play catch-up
To work to reach the speed or level of others
Takenaka-san had to play catch-up at the office for the entire week after her honeymoon vacation.
Catch fire
To increase dramatically in popularity or interest
The company's stock didn't catch fire until they announced a 50% increase in earnings for the second quarter."