Keep in mind, we're talking about different denominations caused by political schisms throughout the centuries, no different than Christianity. Just like all Christians adopt the Nicaean Creed, agree on Biblical literary canon, and accept the early intellectual tradition of the Church Fathers, all Buddhists accept a common liturgy (the Pali Canon, with some cultural-specific additions) and a common intellectual tradition originating from Siddhartha Gautama.
None of the Buddhist denominations are more or less similar to Epicurean philosophy (especially compared with other heterodox ancient Indian philosophical traditions). "Mind over matter" is a fairly universal Buddhist attitude. The current Dalai Lama's rejection of mysticism and embracing of particle physics is the closest similarity we'll find.