As you have asked about list of IAS coaching centres in Delhi, I am giving you list of some institutes, you can check them below:

IMS (Institute of Mathematical Sciences)
Head Office:25/8, Old Rajinder Nagar Market, Delhi - 110060.
Branch office: 105 - 106, Top 2nd floor, Mukherjee Tower,
Dr.Mukherjee Nagar, North Delhi, New Delhi-9.
Phone: 09999197625, 011-45629987.

LORD KRISHNA IAS ACADEMY
Address: J-11/49, First Floor, Rajouri Garden,
New Delhi - 110009.
Phone: 09873694016, 09350194016, 09873694016

CLASSIC IAS ACADEMY
Address: UG 33-34, ANSAL CHAMBER-I,
BHIKAJI CAMA PLACE,
State: New Delhi - 110066
Phone: 32323293, 32323294,
9310034050, 9310034060

Destination IAS academy
Address: M - 2 Jyoti Bhawan, Mukherjee nagar
Delhi 110009
Phone No: +91 9911945480

VVR (An Institute For IAS Examination)
Head Office: 53/5, Opposite Yes Bank, Old Rajender Nagar Market, Delhi - 110060.
Branch Office: 105 - 106, Top Floor Mukherjee Tower, Mukherjee Nagar, New Delhi - 110009.
Phone: 09999329111, 011-45596505

Drishti IAS
Address: Drishti The Vision Foundation, 641, First Floor, Dr. Mukherjee Nagar, Delhi-110009
Phone: 08130392354-56-57-58-59-60 or 011-47532596

Chanakya IAS Academy
Address: 124, 2nd floor, Satya Niketan, Opp. Venky College,
Near : Dhaula Kuan, New Delhi - 21
Phone: 011-64504615, 011-65428647, +91-9958592517, +91-9958592519, +91-9958592521

Khan Study Group
Address: 52,Old Rajender Nagar Mkt, Near Karol Bagh Metro Stn,Delhi-110009
Phones : +91 11 45170303, +91 11 47640303, +91 9560862483
011-45170303, 011-45170303, 47640303.

ETEN IAS ACADEMY
Address : Anuj Sharma, 2nd Flr, Batra Cinema,
Mukherjee Nagar, New Delhi.
Phone : 011 - 45500143.

Rau's IAS Study Circle
Address: 309, Kanchanjunga Building, 18 Barakhamba Road,
Connaught Place, New Delhi 110001.
Phone: 011-23317293, 011-23318135-36,
011-23738906-07, 011-32448880-81