Check out the list of Classical Dances In India which are Important for SSC, IBPS, RBI, SBI, UPSC, PSU Exams:

Bharat Natyam – Tamil Nadu
Bihu -Assam
Bhangra -Punjab
Chhau -Bihar, Orissa, W. Bengal and Jharkhand
Garhwali -Uttaranchal
Garba- Gujarat
Hattari -Karnataka
Kathak -North India
Kathakali -Kerala
Kutchipudi -Andhra Pradesh
Khantumm -Mizoram
Karma Madhya -Pradesh
Laho -Meghalaya
Mohiniattam -Kerala
Mando -Goa
Manipuri -Manipur
Nati -Himachal Pradesh
Nat-Natin -Bihar
Odissi -Orissa
Rauf -Jammu & Kashmir
Yakshagan -Karnataka

Folk Dances in India and Tribal Dances in India :

Maharashtra– Kathakeertan, Lezin, Dandaniya, Tamasha, Gafa, Dahikala, Lovani, Mauni, Dasavtar.

Karnataka– Huttari, Suggi Kunitha, YakashaganaKerala Kaikottikali, Kaliyattam, Tappatikkali

Tamil Nadu– Kolattam, Pinnal Kolattam, Kummi, Kavadi, Karagam

Andhra Pradesh Ghanta Mardala, Veedhi Natakam, Burrakatha

Orissa- Ghumara Sanchar, Chadya Dandanata, Chhau

West Bengal- Kathi, Chhau, Baul, Kirtan, Jatra, Lama

Assam– Bihu, Khel Gopal, Rash Lila, Tabal Chongli, Canoe

Punjab- Giddha (women), Bhangra (men)J & K Rauf, Hikat

Himachal Pradesh- Jhora, Jhali, Dangli, Mahasu, Jadda, Jhainta, Chharhi

Haryana- Jhumar, Ras Leela, Phag dance, Daph, Dhamal, Loor, Gugga, Khoria, Gagor

Gujarat- Garba, Dandiya Rass, Tippani, Gomph

Rajasthan- Ginad, Chakri, Gangore, Terahtaal, Khayal, Jhulan Leela, Jhuma, Suisini

Bihar- Jata Jatin, Jadur, Chhau, Kathaputli, Bakho, Jhijhiya, Samochakwa, Karma, Jatra, Natna

Uttar Pradesh- Nautanki, Thora, Chappeli, Raslila, Kajri.

Famous Dancers:

Bharatnatyam– Bala Saraswati, C. V. Chandrasekhar, Leela Samson, Mrinalini Sarabhai, Padma Subramanyam, Rukmini Devi, Sanyukta Panigrahi, Sonal Mansingh, Yamini Krishnamurti

Kathak– Bharti Gupta, Birju Maharaj, Damayanti Joshi, Durga Das, Gopi Krishna, Kumudini Lakhia, Sambhu Maharaj, Sitara Devi

Kuchipudi– Josyula Seetharamaiah, Vempathi Chinna Sthyam

Manipuri Guru Bipin Sinha, Jhaveri Sisters, Nayana Jhaveri, Nirmala Mehta, Savita Mehta Debaprasad Das, Dhirendra Nath Pattnaik, Indrani Rahman, Kelucharan Mahapatra, Priyambaba Mohanty, Sonal Mansingh

Instrumentalists:

Sarod– Ali Akbar Khan, Allaudin Khan, Amjad Ali Khan, Buddhadev Dasgupta, Bahadur Khan, Sharan Rani, Zarin S. Sharma

Tabla– Alla Rakha Khan, Kishan Maharaj, Nikhil Ghosh, Zakir Hussain

Violin– Baluswamy Dikshitar, Gajanan Rao Joshi, Lalgudi G. Jayaraman, M. S. Gopala krishnan, Mysore T. Chowdiah, T. N. Krishnan

Shehnai– Bismillah Khan

Sitar– Nikhil Banerjee, Ravi Shankar, Vilayat Khan, Hara Shankar Bhattacharya

Flute– Hari Prasad Chaurasia, Pannalal Ghose, T. R. Mahalingam

Veena– K. R. Kumaraswamy lyer, Doraiswami lyengar

Vocalists:

Hindustani– Shubha Mudgal, Bheemsen Joshi, Madhup Mudgal, Mukul Shivputra, Pandit Jasraj, Parveen Sultana, Naina Devi, Girija Devi, Ustad Ghulam Mustafa Khan, Gangubai Hangal, Krishna Hangal, V. Rajput, Kumar Gandharva, Faiyyaz Khan, Mallikarjun Mansur, Kishori Amonkar, Ustad Rashid Khan.

Carnatic– M. S. Subbalakshmi, Balamuralikrishna,

Bombay– Jaishree, H. K. Raghavendra, H. K. Venkataram, Sitarajam, Mani Krishnaswamy, Akhil Krishnan, M. L. Vasanthakumari, M. D. Ramanathan, G. N. Balasubramaniam

Thumri– Ustad Bade Ghulam Ali Khan, Ustad Mazhar Ali Khan, Ustad Zawad Ali Khan, Rita Ganguli, Poornima Chaudhary, Shanti Heerananda, Naina Devi

Quwwali– Ghulam Hasan Niyazi, Sultan Niyazi, Ghulam Farid Nizami, Chand Nizami, Iqbal Hussain Khan Bandanawaji, Aslam Sabari

Dhrupad– Ustad Rahim Fahimuddin Dagar, Zahiruddin Dagar, Waslfuddin Dagar, Bundecha Bandhu, Uday Bhawalkar, Pt. Abhay Narayan Mallick, Pt. Ritwik Sanyal

All the best.