can anyone suggest me similar manga? like with the MC travelling into BL world.

He reincartes to different worlds his mission is to make the male lead fall in love with him
http://www.mangago.zone/read-manga/the_expert_boyfriend_snatcher/

He some how got stuck in a otome game and needs to make the male leads fall for him to go back home but its a hetero game and he a boy not a girl
http://www.mangago.zone/read-manga/i_took_a_trip_to_an_otome_game/

This one a female lead who works in a plays full of male on male relationships
http://www.mangago.zone/read-manga/fight_on_yeo_manager/

Also another female lead mostly focus on her struggles of living in a bl novel she read where same male on male relationships are superior to female and male but ngl it is bit triggering the way they treat women and its kinda unfair that they didn't add lesbians and just made girl a reproduction tool to keep the generation going
http://www.mangago.zone/read-manga/i_m_an_opportunistic_princess_in_charge_of_solving_things/

Thank you so much(≧∀≦)!! Love you(づ￣ ³￣)づ ヾ(☆▽☆)

Actually about the last one... The author probably wrote it that way because historically, in Japan, male homosexuality was more accepted (then recommended for a while) than female homosexuality... Hetero relationship were, in fact, an act of marriage for status and reproduction... She portrayed ancient Japanese toxicity