The Ajanta caves are a string of 30 caves, which were constructed in two phases between the 2nd century BC and 6th century AD. The Ajanta Caves were made out of a solid rock along the Waghora River. Buddhist monks use to do prayers in these halls.
The Ellora caves comprise of 34 monasteries and temples located in Aurangabad district of Maharashtra. It has12 Buddhist caves, 17 Hindu Caves along with 5 caves dedicated to Jaina mendicants. This Cave is quite famous for its architecture in whole India.
The Elephanta Caves are complex ancient cave which is located at a distance of 10 km from the Gateway of India. Elephanta Caves comprises two groups of caves; one is the Hindu rock art and the other is the Buddhist rock art.
Bhaja Cave consists of a group of 22 rock-cut caves dating which is situated near Pune in Lonavala, Maharashtra. These caves are cut in steep cliff face 120 m above the nearby plain, all looking to the west.
Kanheri Caves consist of a group of rock-cut monuments situated inside the Sanjay Gandhi National Park. It was made between the 1st century BC and 9th century AD. You can find Buddhist influence in its architecture.
Karla Caves are the ones which have the mixed Hindu and Buddhists style of rock-carved caves architecture. The group at Karla comprises of 16 rock cut excavations of which cave 8 is the chaityagriha which was carved during Satavahanas dynasty 271 BCE to 30 BCE.
Udayagiri and Khandagiri Caves are basically a kind of natural come artificial caves together and are of archaeological, historical and religious importance. They are beautiful to see.
The Varaha Cave Temple was made in the 7th century and is dedicated to Lord Vishnu. It is one of the finest examples of Indian rock-cut cave architecture. It is also a part of the UNESCO World Heritage Site inscribed in 1984
The Barabar Caves are one of the oldest rock-cut caves in India and are present from the time of Maurya Empire 322–185 BCE. The caves are made in such a way that they look like wood.
The Udayagiri Caves consist of the oldest Hindu cave temples. They were started and completed under the support of Chandragupta II, Emperor of the Gupta Empire, in the late 4th and 5th century CE. The complex comprises of twenty caves out of which one is dedicated to Jainism and all others to Hinduism. It is one of the most important archaeological sites in India from the Gupta period. It is presently a tourist site and is under the protection of the Archaeological Survey of India.
Thus these are some of the rock-cut temples in India.