Manga/manhwa with an actual villainess something like 'Proud to be a villainess'
Bl with Academic rivals
https://www.mangago.zone/read-manga/junketsu_drop/
Not really academic rivals but rivals in school
In addition to above, here are some more Hope you enjoy dear!
https://www.mangago.zone/read-manga/checkmate_1/
https://www.mangago.zone/read-manga/you_and_i_can_t_do_this/
https://www.mangago.zone/read-manga/contradict/
https://www.mangago.zone/read-manga/pride_ni_kiss/
https://www.mangago.zone/read-manga/fake_fact_lips/
https://www.mangago.zone/read-manga/omae_no_koi_wa_ore_no_mono/
https://www.mangago.zone/read-manga/hanakoi_tsurane/
https://www.mangago.zone/read-manga/yuutousei_wa_mi_no_hodo_shirazu/
Please click the + to see the full list
Historical manhwa with no reincarnation and going back in time something like Your Throne (￣∇￣")
https://www.mangago.zone/read-manga/concentration_of_malice_r19_version/ they do switch bodies tho