I'm searching for suggestions with both strong female lead AND reincarnation. And I would ...

My favorite one currently is fortune telling lady but there is no anime(i think)

These three have an anime.

https://www.mangago.zone/read-manga/the_reason_why_raeliana_ended_up_at_the_duke_s_mansion/

https://www.mangago.zone/read-manga/seijo_no_maryoku_wa_bannou_desu/

https://www.mangago.zone/read-manga/i_m_a_villainous_daughter_so_i_m_going_to_keep_the_last_boss/

You can look through these for reincarnation (: Not sure if they have an anime though, but hope you still enjoy them~
https://www.mangago.zone/home/mangalist/1408302/