What are some comparison and similarties of the Buddhism and hindusim religions?

The major difference is the notion of an existence of a self: atman (self in Hinduism) vs anatman (no-self in Buddhism). Anatmam is the teaching of no fixed independent existence of a self. The notion of an independent self is explained with investigation of the "skandas", which when examined do not determine the existence of a "self" . This applies also to the existence of an essence or a soul.