You should try Fruits Basket by Natsuki Takaya. Fruits Basket has several love triangles. Couple characters are in more than one love triangle too!
And since you said that you love Full Moon wo Sagashite (one of my favorites!) by Arina Tanemura, you should also try reading some other mangas by her like Shinshi Doumei Cross (or Gentleman's Alliance Cross), Sakura Hime, Kamikaze Kaitou Jeanne, and Time Strange Kyoko. Arina Tanemura really loves this love triangle thing so if you dig that, you'd dig her work.
Hope this helps! :) If you need any more manga recommendations, I'd love to give you more!
And since you said that you love Full Moon wo Sagashite (one of my favorites!) by Arina Tanemura, you should also try reading some other mangas by her like Shinshi Doumei Cross (or Gentleman's Alliance Cross), Sakura Hime, Kamikaze Kaitou Jeanne, and Time Strange Kyoko. Arina Tanemura really loves this love triangle thing so if you dig that, you'd dig her work.
Hope this helps! :) If you need any more manga recommendations, I'd love to give you more!