I was asking to understand your Q better.
So, you are looking for Premium Bank Accounts with Zero AMB - which can be opened just with high initial funding (but you dont' want to maintain any TRV).
In that case, very few options are available.
ICICI Wealth is an option, but it is just because they don't downgrade (things can change in future)
HDFC Imperia can be another option, few people say that HDFC doesn't downgrade (again - it will depend on luck factor)
For me, both ICICI & HDFC did send emails to downgrade and I was able to retain by speaking to RM/BM - considering long association.
In my experience, for most banks' Premium Account we need either high AMB (like 1-2 lakhs) or high TRV (25/30 lakhs+ in FD, Insurance, Stock etc) to offer Premium Account with Zero AMB.