I will not recommend HDFC classic if you want a zero balance account, since it is not really meant for that criteria.
You are required to park a minimum 5 lakhs as an FD for at least 2–3 months (this gives you guaranteed classic upgrade) or 1lac as an account balance (while this somewhat makes you eligible, there has been times when even a manual trigger from an RM fails).
Remember, once you attain classic status, it is very rare for HDFC to demote you, but that can still happen.
The classic accounts as per my knowledge is only available at urban/metro branches.
These accounts do not offer much, except for unlimited ATM usage, a free platinum debit card, zero balance and some discounts on forex.
It also expedites your
credit card upgrade timeline, but that is on a case-by-case basis.