Mindfulness-Based Therapies describe therapies for which mindfulness is a core practice, principal and mechanism for change. Mindfulness is bringing one's attention to the present moment, in a curious and non-judmgemental way. Some Mindfulness-Based approaches include:
Mindfulness-Based Stress Reduction MBSR
Empirically proven to reduce many different physical and mental/emotional symptoms
Research shows significant improvement for preventing relapse
Reseach has shown that MBCT is beneficial in reducing symptoms of depression as well, though more structured and thorough reseach is needed.
Mindfulness-Based Relationship enhancement
Therapies already described here, which have mindfulness as a core element, would fall under that category. That includes ACT, DBT, and as described above, CBT. Even EMDR may have some resources based in mindfulness.