I'm with you, I love this stuff, so I've been scouring the universe for all of them, and since you just linked 2 that I somehow didn't know about, I'll just link all of my follows that pertain directly to reincarnation.
Gun-Ota ga Mahou Sekai ni Tensei shitara, Gendai Heiki de Guntai Harem wo Tsukucchaimashita!?, Jaryuu Tensei, Kenja no Mago, Knights & Magic, Mushoku Tensei ~Isekai Ittara Honki Dasu~, The Reincarnated One Doesn't Want to Cheat, Spirit Migration, Tensei Shichattayo (iya, gomen), Tensei Shitara Slime Datta Ken (A personal favourite of mine)
And then there are a lot of the summoned to another world manga where the MC didn't necessarily die. Some of these might be reincarnation and I'm just not remembering but, I'm still just listing off my follows.
Arifureta Shokugyou de Sekai Saikyou, Isekai Maou to Shoukan Shoujo Dorei Majutsu, Death March kara Hajimaru Isekai Kyousoukyoku, In Another World, I'm Called: the Black Healer, Moon-led Journey Across Another World, Kou 1 Desu ga Isekai de Joushu Hajimemashita, Tate no Yuusha no Nariagari (if you haven't read this yet, I'd say get right on it, no.1 favourite manga), World Customize Creator, Konjiki no Moji Tsukai (Word Master) - Yuusha Yonin ni Makikomareta Unique Cheat
I'd appreciate if you came back to this thread and link any others that you stumble across, since most of these are short, ongoing, and slow to release/translate. So I'm dying for more.