Buddhism and Unitarian Universalism both honor the beliefs people hold based on their own life experiences and search for understanding. In neither tradition will anyone tell you what you ought to believe. Diverse beliefs prompt us to question all beliefs in our quest for understanding.
Lama Surya Das writes about our shared values in Buddhist Voices in Unitarian Universalism:
Buddhism and Unitarian Universalism value many of the same things, including experiential practice, study and self-inquiry, mindful awareness cultivation, insightful wisdom development, and loving-kindness, combined with active compassion in the world. This is the heart of sacred activism - empowering educating, edifying, elevating, transforming and liberating.
A video of Shirley Ray's presentation "Mindfulness in Buddhism and Unitarianism" is available here.