First in India

Following are first in India happenings 

Male

The first President of Indian Republic	Dr. Rajendra Prasad
The first Prime Minister of free India	Pt. Jawahar Lal Nehru
The first Indian to win Nobel Prize	Rabindranath Tagore
The first President of Indian National Congress	W.C. Banerjee
The first Muslim President of Indian National Congress	Badruddin Tayyabji
The first Muslim President of India	Dr. Zakir Hussain
The first British Governor General of India	Lord William Bentinck(1833-1835)
The first British Governor General of Bengal	Lord Warren Hasting(1774-1885)
The first British Viceroy of India	Lord Canning
The first Governor General of free India	Lord Mountbatten
The first and the last Indian to be Governor General of free India	C. Rajgopalachari
The first man who introduced printing press in India	James Hicky
The first Indian to join the I.C.S	Satyendra Nath Tagore
India’s first man in Space	Rakesh Sharma
The first Prime Minister of India who resigned without completing the full term	Morarji Desai
The first Indian Commander-in-Chief of India	General Cariappa
The first Chief of Army Staff	Gen. Maharaj Rajendra Singhji
The first Indian Member of the Viceroy’s executive council	S.P.Sinha
The first President of India who died while in office	Dr. Zakhir Hussain
The first Muslim President of Indian Republic	Dr. Zakhir Hussain
The first Prime Minister of India who did not face the Parliament	Charan Singh
The first Field Marshal of India	S.H.F. Manekshaw
The first Indian to get Nobel Prize in Physics	C.V.Raman
The first Indian to receive Bharat Ratna award	Dr. Radhakrishnan
The first Indian to cross English Channel	Mihir Sen
The first Person to receive Jnanpith award	Sri Shankar Kurup
The firs Speaker of the Lok Sabha	Ganesh Vasudeva Mavalankar
The first Vice-President of India	Dr. Radhakrishnan
The first Education Minister	Abdul Kalam Azad
The first Home minister of India	Sardar Vallabh Bhai Patel
The first Indian Air Chief Marshal	S. Mukherjee
The first Indian Naval Chief	Vice Admiral R.D. Katari
The first Judge of International Court of Justice	Dr. Nagendra Singh
The first person to reach Mt. Everest without oxygen	Sherpa Anga Dorjee
The first person to get Param Vir Chakra	Major Somnath Sharma
The first Chief Election Commissioner	Sukumar Sen
The first person to receive Magsaysay Award	Acharya Vinoba Bhave
The first person of Indian origin to receive Nobel Prize in Medicine	Hargovind Khurana
The first Chinese traveller to visit India	Fahein
The first person to receive Stalin Prize	Saifuddin Kitchlu
The first person to resign from the Central Cabinet	Shyama Prasad Mukherjee
The first person to receive Nobel Prize in Economics	Amartya Sen
The first Chief Justice of Supreme Court	Justice Hirala J. Kania
The first Indian Pilot	J.R.D. Tata (1929)

Female

The first lady to become Miss World	Rita Faria
The first woman judge in Supreme Court	Mrs. Meera Sahib Fatima Bibi
The first woman Ambassador	Miss C.B. Muthamma
The first woman Governor of a state in free India	Mrs Sarojini Naidu
The first woman Speaker of a State Assembly	Shanno Devi
The first woman Prime Minister	Mrs Indira Gandhi
The first woman Minister in a Government	Rajkumari Amrit Kaur
The first woman to climb Mount Everest	Bachhendri Pal
The first woman to climb Mount Everest twice	Santosh Yadav
The first woman President of Indian National Congress	Mrs Annie Besant
The first woman pilot in Indian Air Force	Harita Kaur Dayal
The first woman Graduates	Kadambini Ganguly and Chandramukhi Basu, 1883
The first woman Airline Pilot	Durba Banerjee
The first woman Honours Graduate	Kamini Roy, 1886
The first woman Olympic medal Winner	Karnam Malleswari, 2000
The first woman Asian Games Gold Medal Winner	Kamlijit Sandhu
The first woman Lawyer	Cornelia Sorabjee
The first woman President of United Nations General Assembly	Mrs Vijaya Laxmi Pandit
The first woman Chief Minister of an Indian State	Mrs Sucheta Kripalani
The first woman Chairman of Union Public Service Commission	Roze Millian Bethew
The first woman Director General of Police	Kanchan Chaudhary Bhattacharya
The first woman Judge	Anna Chandy (She became judge in a district court in 1937)
The first woman Cheif Justice of High Court	Mrs Leela Seth (Himachal Pradesh High Court)
The first woman Judge in Supreme Court of India	Kumari Justice M. Fathima Beevi
The first woman Lieutenant General	Puneeta Arora
The first woman Air Vice Marshal	P. Bandopadhyaya
The first woman chairperson of Indian Airlines	Sushma Chawla
The first woman IPS officer	Mrs. Kiran Bedi
The first and last Muslim woman ruler of India	Razia Sultan
The first woman to receive Ashoka Chakra	Nirja Bhanot
The first woman to receive Jnanpith Award	Ashapurna Devi
The first woman to cross English Channel	Aarti Saha
The first woman to receive Nobel Prize	Mother Teresa
The first woman to receive Bharat Ratna	Mrs Indira Gandhi
The first woman to receive Jnanpith Award	Ashpurna Devi

First in Governance

First President of India	Dr. Rajendra Prasad (1950-1962)
First Prime Minister of India	Jawaharlal Nehru (1947-1964). The first term lasted till 1952 after which he was re-elected.
First Vice President of India	Dr. S Radhakrishan
First Deputy Prime Minister of India	Vallabhbhai Patel
First Prime Minister to be voted out of Office	India Ghandi (1977) when the Indian National Congress lost to he Janta Party.
First Sikh Prime Minister	Manmohan Singh
First Sikh President	Giani Zail Singh
First Non-Congress Government	by Janta Party with Morarji Desai as the Prime Minister (1977-1980)
First Prime Minster of India resigned without completing his full term	Morarji Desai
First Prime Minister to lead a minority government for a full term(five years)	P.V. Narasimha Rao, June 21, 1991 to May 16 1996
First Prime Minster from South India	P.V. Narasimha Rao, June 21, 1991 to May 16 1996
First Governor-General	Warren Hastings
First British Governor-General	Lord William Bentick
First British Viceroy of India	Lord Canning
First Governor General of Independent India	Lord Mountbatten, 1947
First and Last Indian Governor-General of Indian Union	C Rajagopalachari, 1948
First Chief Justice of India	Justice Hiralal J Kania
First Indian to pass ICS	Surendra Nath Banerjee
First Indian ICS Officer	Satyendranath Tagore, 1863
First Speaker of Lok Sabha	Shri G.V. Mavlankar
First Finance Minister of Independent India	Shri R.K.Shanmukhan Chettys
Presentation of First Budget after India's Independence	Shri R.K.Shanmukhan Chettys on Nov. 26, 1947
First President to die in Office	Dr. Zakhir Hussain
First Prime Minister who did not face the Parliament	Charan Singh
First Chief Justice of Supreme Court to become President of India	Justice M Hidaytullah
First Education Minister	Abul Kalam Azad
First Home Minister	Sardar Vallabhbhai Patel
First Chief Election Commissioner	Sukumar Sen
First Minister to regin from Union Cabinet	Shyama Prasad Mukherjee (1950)

First in Sports

First Olympic team medal	Gold for Hockey at the 1928 Summer Olympics Amsterdam, beating the Nethherlands.
First Olympic individual medal (in British India)	Norman Pritchard, 1900
First Olympic individual medal	Bronze by K.D. Jadhav for wrestling at the 1952 Summer Olympic Helsinki.
First Person to swim across the English Channel	Mihir Sen,
First Women to swim across the English Channel	Mihir Sen, 1958
First Formula I race driver	Narain Karthikeyan
First Formula I team	Force India F1
First A1 GP race victory	Narain Karthikeyan, Zhuhai, China, 2007
First Asian Games organised	Delhi (1951)
First in CHESS
First Chess Grandmaster	Viswanathan Anand in 1988, at the age of 18
First FIDE World Chess Champion	Viswanathan Anand in December 2000
First Undisputed World Chess Champion	Viswanathan Anand in September 2007
First in TENNIS
First Tennis Grand Slam title	Mahesh Bhupati (partnering with Japanese Rika Hiraki) in the Mixed Doubles category of the 1997 French Open
First Tennis Grand Slam win by a women	Nirupama Vaidyanathan beat Italian Gloria Pizzichini in the First round of 1998 Australian Open First Women in 4th round (higest as of 2008) of a tennis
Grand Slam event	Sania Mirza in the Singles Category of the 2005 US Open
First Tennis Grand Slam Junior title	Leander Paes in the Singles category of the 1990 Wimbledon Championship. He is also the only medal fetcher for India in the Atlanta Olympics. He won a bronze medal, the only medal that put India in the medal tally.
First Tennis Grand Slam Junior title by a women	Sania Mirza (partnering with Russian Alisa Kleybanova) in the Doubles category of the 2003 Wimbledon Championships.
First in CRICKET
First Cricket tournament	The Bombay Triangular which Later became the Bombay Quadrangular (1912-1936)
First Cricket Test Match	Against England at Lord's June,25, 1932
First Cricket Captain	CK Nayudu for the 1932 tour of England
First Cricketer to score a century	Lala Amarnath in 1933 against England in South Bombay
First Cricketer to score a triple century	Vijay Hazare
First Test Cricket cricket hat-trick	Harbhajan Singh against Austrlia in March 2001
First Cricketer World Cup Championship Win	At the 1983 Cricket World Cup
First Batsman to complete 10,000 runs in Test Cricket	Sunil Gavaskar (he was the first in the world to achieve this feat.)
First Batsman to complete 10,000 runs in ODI Cricket	Sachin Tendulkar (he was the first in the world to achieve this feat.)
First Cricketer to score 75 Test and ODI centuries	Sachin Tendulkar

First in Awards and Titles

First Miss World	Reita Faria in 1966
First Miss Universe	Susmita Sen in 1994
First Booker Prize	Arundhati Roy for The God of Small Things in 1997
First Bharat Ratna	Dr. Sarvepalli Radhakrishan, C. Rajagopalachari, and Dr. C.V. Raman in 1954
First Foreigner to receive Bharat Ratna	Khan Abdul Ghaffar
First Person to receive Stalin Prize	Saifuddin Kitchlu
First Chevalier	Sivaji Ganesan
First Person to receive Jnapith Award	Shri Shankar Kurup
First Dadasaheb Phalke Award	Devika Rani in 1969
First Ashoka Chakra Award to a civilian (posthumous)	D.K. Jatar, captain of the sabotaged plane Kashmir Princess, for "most conspicuous bravery, daring and self-sacrifice."
First Magsaysay Award	Vinoba Bhave
First Winner of a major literary award in the United States	Dhan Gopal Mukerji
First Ford Supermodel of the World(contest)	Bipasha Basu, 1996
First Indian recipient of 'Oscar Award'	Bhanu Athaiya

First in Defence

First Commander-in-Chief of Free India	General Sir Roy Bucher
First Indian Commander-in-Chief of Free India	General Kodandera Madappa Cariappa, 1949
First Chief of Air Staff	Air Marshall Sir Thomas Elmhirst
First Indian Chief of Staff	Air Marshall Subroto Mukerjee, 1954
First Chief of Naval Staff	Vice Admiral R D Katari
First Field Marshall of India	S.H.F. Manekshaw
First Person to receive Paramvir Chakra	Major Somnath Sharma
First Cosmonaut	Sqn Ldr Rakesh Sharma, 1984
First Atomic Submarine of India	INS Chakra
First Medium Range Missile	Agni
First Indian Missile	Prithvi (Striking range - 250 kms)
India's First Nuclear Centre	Tarapur