"current popular" is correct and usable in written English.
You can use it to describe something that is currently popular or fashionable. For example, "K-pop is the current popular music genre among teens."
What are some of the current popular book topics?
I'm aware that these technologies are current, popular and important.
2. Make a list of the heroes or icons in current popular culture.
He didn't worry about his PR, or what the current popular trends might be.
The devotees of much current popular music want and respond to lyrics rich with social criticism.
Writer talks with several crew members and records many of the current popular songs.
Daniel Zalewski wrote in the magazine last week about the content of current popular children's books.
Visit to a current popular meeting place of teenagers - under the clock at the Biltmore.
"It's kind of a mishmash of current popular ideas, projected back into the Middle Ages".
The approach of the ads echoes the creative tacks of several current popular campaigns.
