As you have asked about the two forms of ID list for Bank of America when conducting the business with bank, I am giving you information about it, check below for the details

Primary ID List (must have at least one from this list)

Drivers license with photo
U.S. non driver's license state-issued ID (with photo)
U.S. driver's permit (with photo)
U.S. Military ID Common Access Card (CAC) (with photo)
United States Armed Services ID (with photo)
United States state, or local government issued identification card (with photo)
U.S. passport (with photo)
Canadian Citizenship Certificate Card (with photo)
U.S. Alien Registration Receipt Card - Form I-551 (with photo)
U.S. Nonimmigrant Visa and Border Crossing Card - DSP-150 (with photo)
Foreign passport with or without passport Visa (with photo)
INS Employment Authorization Card - Form I-766 or I-688 (with photo)
Mexican Consular ID Card (with photo)
Dominican Republic Consular ID (with photo)
Colombian Consular ID (with photo)
Guatemalan Consular ID Card (with photo)
Bank of America branded debit card or credit card (with photo)
Bank of America debit card, ATM Card, or credit card (without photo)

Secondary ID List (may only use one of these in conjunction with a Primary ID)

Major credit card from another financial institution (including American Express, Visa, MasterCard, Novus/Discover) (with or without photo)
Major retail credit card from a nationally well-known department store or other nationally well-known retail company (such as Chevron, Macy's) (with or without photo)
Debit card (check card) with Visa® or MasterCard® logo from another financial institution (with or without a photo)
U.S. college/university ID - validated for current term or school year (with photo)
U.S. student ID card from a local high school validated for current school year (with/without photo)
U.S. issued employment/work ID card or badge (with/without photo)
Account Opening: Can be accepted at both offsite and banking center locations
U.S. driver's license (without photo)
U.S. Dept of State Diplomat driver's license (with photo)
U.S. Dept of State Diplomat ID (with photo)
Foreign driver's license (such as Brazil, France) (with photo)
Mexican driver's license (with photo)
Canadian driver's license (with photo)
Indian Tribal ID from a local reservation (with or without a photo)
Mexican Voter Registration Card (with photo)
AARP Card
Current lease agreement (must contain name and current address)
Current Property Tax Statement
Current utility bill (must contain name and current address)
Current vehicle registration
Department of Correction ID
Driver's permit (temporary or beginner's) from any state (without photo)
Health insurance card
Hong Kong Travel Document
Membership card (BJ's, COSTCO, Auto Club)
Sheriff's card
Social Security card
U. S. state or local government-issued license, permit or ID (examples: fishing, hunting, or gun permit)
Union card
United States Armed Services ID (without photo)