For more hands on experience I give more preference to government medical colleges  / hospitals . I had made a  complete list of dnb institutes in quora,under profile name ajaypal Singh thind, it may be helpful for students who are interested in pursuing anaesthesia. currently I am doing PG in Kalpana chawla government medical college, karnal.

1. Kalpana chawla government medical college
2. BPS government medical college
3. Government institute , Noida
4. Government RDBP jaipuria hospital
5. Northern railway central hospital , new Delhi
6. Deen dayal uphadhya hospital , Delhi
7. St Stephen hospital, Delhi
8. Medanta, Gurgaon
9. Hindu Rao hospital , delhi
10. shaheed Hasan khan medical college, Haryana
11. Sanjay Gandhi memorial hospital, Delhi.
12. sir Ganga ram hospital, Delhi,
13. - Balrampur hospital Lucknow ,
14. swami dayanand hospital, Delhi.
15. K J somaiya medical college, Maharashtra,
16. - Rajarshee chhatrapati shahu Maharaj government medical college, Maharashtra,
17. - Rajiv Gandhi medical college , maharashtra
18. Dr RN cooper municipal general hospital
19. KEM hospital, maharashtra
20. GMERS medical college, gujrat
21. Dr babasaheb Ambedkar central railway hospital, maharashtra
22. Rajiv Gandhi Cancer institute and research center, delhi
23. Dr BL kapur memorial hospital, delhi
24. Batra hospital and medical research center , delhi
25. Vivekananda polyclinic and institute of medical sciences lucknow
26. Artemis health institute haryana
27. Asian institute of medical sciences, haryana
28. Max superciality hospitals( Delhi, Punjab, Haryana, uttarakhand, Maharashtra)
29. Maharaja agarsen hospital, delhi
30. Japee hospital, uttar pradesh
31. Indraprastha Apollo, delhi
32. Fortis , hospital, uttar pradesh
33. Fortis hospital, delhi
34. Jaipur golden hospital, delhi
35. Sarvodaya hospital, haryana
36. Tata main hospital, jharkhand
37. Fortis hospital, punjab
38. Metro heart institute haryana
39. Venkateshwar hospital, delhi
40. Tata motors hospital , jharkhand
41. Shanti Mukund hospital , delhi
42. KIMS telangana
43. District head quarters hospital, telangana
44. Esicmedicalcollege
45. Ruby hall clinic , maharashtra
46. Jaslok hospital, maharashtra
47. Care hospital, telangana
48. Holy spirit hospital, maharashtra
49. Deenanath mangeshkar hospital, maharashtra
50. Dr B Nanavati hospital, maharashtra
51. Dr LH hiranandani hospital, maharashtra
52. Sir hurkisondas nurrotimdas hospital, maharashtra
53. Saifee hospital, maharashtra
54. Poona hospital , maharashtra
55. Aditya Birla memorial hospital , maharashtra
56. Kokilaben dhirubhai ambani hospital , maharashtra
57. Anand rishiji hospital , maharashtra
58. Fortis hospital ,maharashtra
59. Lilavati hospital , maharashtra
60. Bhabha atomic research center , maharashtra
61. SBLS , civil hospital ( govt) , jalandhar, punjab
62. Civil hospital, ( govt) , jammu
63. Santokbha durlabhji memorial hospital, rajasthan
64. Fortis escort hospital, rajasthan
65. Rukmani Birla hospital, rajasthan
66. Apollo hospital , gujrat
67. Sterling hospital , gujrat
68. SAL hospital, gujrat
69. Jamnabhai general hospital , gujrat
70. Sahyadri super speciality hospital, maharashtra
71. Jehangir hospital , maharashtra
72. Breach candy hospital , maharashtra
73. PD hinduja national hospital, maharashtra
74. Apollo hospital, maharashtra
75. Narayana multispecialty hospital , rajasthan
76. Yashoda hospital , Telangana( there are 3 yashodha hospital )
77. Apollo hospital , telangana
78. Paras hospital, haryana
79. Nayati multispecialty hospital , UP
80. Choitram hospital , Madhya Pradesh
81. Bombay hospital , MP
82. Eternal heart care center , rajasthan
83. Durgabhai deshmukh hospital , telangana
84. Krishna institute of medical sciences, telangana
85. Thumbay hospital , telangana
86. Virinchi hospital , telangana
87. Medicover hospital , telangana
88. Ivy hospital, punjab
89. Bokaro general hospital, jharkhand
90. Apex. Hospital, UP
91. Regency hospital , UP
92. Fortis hospital , Punjab
93. Satguru Pratap Singh hospital , punjab
94. Mohandai oswal hospital , Punjab
95. Noble hospital, maharashtra
96. Citizen specialty hospital, telangana
97. Continental hospital, telangana,
98. Star hospital, telangana
99. Bansal hospital, MP
100. City hospital, MP

I am listing few of the good colleges for DNB Anaesthesia course:

1.Sir Gangaram Hospital, Delhi

2. Lilavati Hospital and Research Centre, Bandra, Mumbai

3. Balabhai Nanavati Hospital S.V. Road, Mumbai

4. Lisie Hospital, Ernakulam, Kerala

5. Lourde Hospital Road, Ernakulam, Kerala

6. Narayana Hrudayalaya of Bangalore

7. Martha’s Hospital, Nrupathunga Road, Bangalore

8. Breach Candy Hospital, Mumbai

9.Hinduja, Mumbai

10. Madurai Meenakshi Mission Hospital,Tamil Nadu

10. Pushpagiri Hospital, Tiruvella, Kerala