How many landings per year are performed using the integrated standby instrument system? Could you tell me how many landings are exclusively driven by Integrated Standby Instrument System or equivalent in the world per year ?

Same question with "partially" using instead of "exclusively".
None, as far as I have ever heard of. There may be an instance out there of failure of both/all of the INS’s or displays, but in the airline world at least, it would have to be absurdly uncommon.

It is nice to have the standby ADI as a tie-breaker between the two primary displays in case they should happen to disagree (which was more likely with mechanical instruments than with electronic displays), but actually losing everything else &amp; using just the standby to landing - between really rare and unheard of.