If you're looking for manga similar to Heat x Beat: I May Be an Omega, but I'm Going to Be an Idol!, you might like these titles.
Matori, a tiger from the Amur clan, aiming to be the “strongest omega”, one day suddenly reunites with the Japanese wolf, Koko, whom he used to pine after when they were younger. Matori is charmed by his unchanging kindness and grown-up appearance, and they laid their bodies together. In the midst of this, Matori, who had a dream that he would mate with the person he loves, sees signs of Koko’s alpha awakening, and worries that he may have only held him impulsively due to his heat…
People dream of the idol group INTACT's omega Yuha and alpha Ran in an ideal alpha/omega relationship, like a princess and a knight. Behind the scenes, however, "princess" Yuha utterly despises Ran! But when they collide and their bickering is about to develop into a quarrel, Yuha goes into heat...!