Disclaimer: I have not caught up to most of these recently so IDK how the story holds up to this date. However, I remember liking them when I first read them. Also, since it's been so long since I last read these, my descriptions may be inaccurate.
•Reborn to a rich and powerful family and has skills from past life, fantasy setting
~ https://www.mangago.me/read-manga/the_reincarnated_assassin_is_a_genius_swordsman/
~ https://www.mangago.me/read-manga/the_dark_magician_transmigrates_after_66666_years/
~ https://www.mangago.me/read-manga/i_m_gonna_annihilate_this_land/
~ https://www.mangago.me/read-manga/standard_of_reincarnation/
• Reborn with skills from past life but his family isn't that rich ( I think?. this was last updated 2 years ago, there are talks about s3 but no definite date yet)
~ https://www.mangago.me/read-manga/damn_reincarnation/
If regression is ok, here's a few reccs
•Regressed to his young self and retained skills from past life, fantasy setting
~ https://www.mangago.me/read-manga/the_regressed_son_of_a_duke_is_an_assassin/
•Regressed to his young self and used his skills from his past life to change his future for the better, modern day setting
~ https://www.mangago.me/read-manga/real_man/
recommendations that are similar to “The Unorthodox Genius of the House of Darkness” where male mc transmigrated to a rich family/ ace of all cards (learned almost everything in his past life). meeting both of these similiraties or any of the two is okei
+ storyline should be good