The vast majority of Sikhs came to India, but I guess you are asking about groups that did not have such a large stake in the partition of India. Parsis and Christians were the only other sizable community and for most part they remained unmolested during the riots.

Buddhist groups were of little consequence in India politics at the time and therefore were of little consideration during partition. This was as a result of the long-term decline of Buddhism in India which began in the early centuries of the Common Era and continued through the centuries as new polities increasingly marginalized Buddhist groups. Due to the small number of Buddhists in British India by the 20th Century they were not a significant player in Indian politics leading up to partition or since, although they became somewhat more politically prominent after the Dalai Lama fled to India in 1959. Tibetan Buddhist groups in India are for the most part either in Ladakh, near the Tibetan government in exile at Dharamshala or elsewhere along the Tibetan border. Theravada Buddhism was still practiced by tribal groups in the Chittagong Hill Tracts in East Bengal at the time of partition, and still is today although these Buddhist groups are marginalized and increasingly under pressure from mostly Muslim Bengali-speaking settlers. When partition occurred, the majority of regions with a significant Buddhist presence were in what became Indian territory, with the exception being the above-mentioned Chittagong Hill Tracts which went to East Bengal/Pakistan, and eventually independent Bangladesh.