There are number of Airline Companies working in India as on your demand here I am providing list of theses companies:

Airlines Commenced Operations
Air India October 1932 as Tata Airlines
Air India Express Apr-05
Air India Regional 1996 (as Alliance Air)
AirAsia India 12-Jun-14
Air Carnival 2016
Air Pegasus 12-Apr-15
Air Odisha 2-Nov-12
Blue Dart Aviation 1995
Club One Air Aug-05
Chhattisgarh Air Link 2012
Deccan Charters 1997
Fly Easy 2016
GoAir Nov-05
IIC technologies Limited Jul-16
IndiGo Aug-06
Jet Airways May-93
K2 Enterprises Private Limited Jan-14
Pinnacle Air Oct-13
Quikjet Cargo Feb-12
SpiceJet May 2005
TajAir November 1993 (as Megapode)
TruJet 12-Jul-15
Ventura AirConnect 7-Sep-11
Vistara 9-Jan-15