There is one major difference between Buddhism and some schools of thought in Hinduism like Yoga or Bhakti. While Yoga and Bhakti insist that a 'deity' helps you make the progress much faster on path of self realization, Buddha did not explicitly support this. He instead focused on more inward looking approach of meditation and contemplation (which is a subset of Vedanta philosophy in Hinduism). This is often seen as Buddhism being an atheistic philosophy by Hindus.
Both Hinduism and Buddhism allow its followers to embed this central concept into various other "decorations" and "facades". Which may involve supernatural elements. But they are mostly irrelevant for you to be either Hindu or Buddhist. This is in stark contrast to Islam, Judaism and Christianity where some central core beliefs absolutely require you to believe in supernatural elements.