I can recommend Global Volunteers: https://globalvolunteers.org (Be careful to get the right organization - There are others with similar names.)
I have served with them on 10 teams - and soon will leave for team #11. I have served in Greece, China (5 times), Poland (3 times) and Cuba, and will soon be in Tanzania. They go to many other countries as well. Their projects include teaching English to adults and children in different settings, participating in children's camps, gardening, working with the elderly, physical work projects and much more. Here is more description: https://globalvolunteers.org/community-projects/
They have been doing this for many years (since 1984) and have a thoughtful approach. They believe that projects should be directed by the local people through their own local organizations. Volunteers are provided with a lot of support to help them be successful. A major focus is on person-to-person relationships and "waging peace" by helping people from across the world understand each other.
They encourage families to serve together. Here is a page on their website that describes family volunteering: https://globalvolunteers.org/family-volunteering/ You might like the Poland summer program. Volunteers provide English instruction to small groups of young teens at a two-week residential camp program (very informal teaching - lots of games, activities and discussion). On one of my teams, there was a grandmother who brought her 17-year-old granddaughter. The granddaughter had her own small group to teach and had a fabulous time! (The campers loved her too.) But many other programs have projects that might appeal to a teenager. You and your daughter should browse the site and find the place and project that suits you.
I enjoy a regular tourist trip, but have found that my volunteer trips are something special. Getting to know local people (other than tour guides, waiters and hotel staff), seeing non-touristy sights, pulling back to curtain on everyday life has been wonderful.