Both dramas include:
-Main female lead disguises as a male
-School (college) environment
-Female lead and male lead are roommates
-Female lead falls in love first
-Both the female lead and male lead are athletic

Both dramas have comedy and a female lead that must disguise as a male.
However, Bromance is set more in a business-like setting and does not contain fantasy (it just contains some fortune telling).

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Idol Producer is back with 100 new contestants, three of the same mentors, and three new mentors.

Both dramas are: thrillers, have plots that are told through flashbacks, and include romance.
However, Circle also has a science fiction element to its story.