The list is here (prestigious trains which touch Kolkata):
HWH Rajdhani exp
SDAH Rajdhani exp
Dhauli exp
Coromandel exp
Geetanjali...
more... exp
Poorva exp
Kalka mail
Darjeeling mail
Padatik exp
Saraighat exp
Jnaneswari exp
Samarsata exp
Puri exp (daily)
ASR Bi-weekly exp
Patna Janshatabdi exp
Falaknama exp