When you say found family, do you mean family that the character finds after they leave their own terrible biological families (like in Monster Duchess), or do you mean when the MC gets found by their biological family that had been looking for them (like in I Became the Male Lead's adopter daughter)?
https://www.mangago.zone/read-manga/wind_breaker/
This is my fav found family manhwa. It's so fucking good give it a try
I wrote a reply and I guess it dissapeared. It's not all found family but they all have a focus on family/friendships:
Cat Street: MC finds a school of rejects and in there gets the support she needs to move on from past trauma and resume acting
Seiyuu Ka: MC's family doesnt support her in anything. She enters the voice acting industry and finally gets the supportive relationships she's never had.
Yotsubato: Just a 100% wholesome plotless manga about a man and his adopter daughter. The kid is really funny.
Bokura no Negai: *Warning* it has inseki. It's a yaoi where the MC ends up taking care of his new step siblings who are basically strangers to him after their parents die I think during their honeymoon.
Naruto: Putting all the ninja shit aside, it's actually a story about a rejected and hated orphan that finds people who love him and support him and eventually gains the entire support of their community. Ngl it make me cry a lot.
Hii looking for some found family list/recommendations I feel like I need that kind of story right now ngl anyways thank you in advance