Hello, here I am providing you the details of the Indian Navy ships as under:

Submarine fleet
Nuclear-powered submarines
Conventionally-powered submarines

Surface fleet
Aircraft carriers
Destroyers
Frigates
Amphibious warfare ships
Corvettes
Mine countermeasure vessels
Torpedo recovery vessels
Offshore patrol vessels
Patrol vessels
Patrol boats

Auxiliary fleet
Replenishment ships
Support ships
Research and survey vessels
Training vessels
Tugboats

Some of the submarines:
INS Sindhughosh (S55)
INS Sindhudhvaj (S56)
INS Sindhuraj (S57)
INS Sindhuvir (S58)
INS Sindhuratna (S59)
INS Sindhukesari (S60)
INS Sindhukirti (S61)
INS Sindhuvijay (S62)
INS Sindhurashtra (S65)
INS Shishumar (S44)
INS Shankush (S45)
INS Shalki (S46)
INS Shankul (S47)

Landing ships:
INS Shardul (L16)
INS Kesari (L15)
INS Airavat (L24)
INS Cheetah (L18)
INS Mahish (L19)
INS Guldar (L21)
INS Kumbhir (L22)