https://bitcointalksearch.org/topic/ann-bitcoin-debit-card-bit-xcom-anonymous-or-named-low-fees-1006153
This quote from its OP says people in the USA can only order the Anonymous Limited cards, not the Named cards which let you withdraw more money. It says the Anonymous Limited cards will work in all countries. I don't know what you mean by the ATM asking for an account type, but if you ask in the Bit-x debit card thread you will get an answer. I haven't tried the cards yet.
Now with a new cashback reward system!
Cards will work in all countries.
Residents from the following countries may order only Anonymous Limited cards:
Afghanistan, Albania, Algeria, Angola, Cambodia, Ecuador, Guyana, Indonesia, Iran, Iraq, Kuwait, Democratic People's Republic of Korea, Lao People's Democratic Republic, Myanmar, Namibia, Nicaragua, Pakistan, Panama, Papua New Guinea, Romania, Sudan, Syrian Arab Republic, Uganda, United States and Minor Outlying Islands, Yemen, Zimbabwe.
Residents from the following countries may not order Named cards:
Afghanistan, Algeria, Angola, Azerbaijan, Bangladesh, Burkina Faso, Burundi, Cambodia, Cameroon, Central African Republic, Chad, Colombia,Comoros, Congo, Congo, the Democratic Republic of the, Côte d'Ivoire, Cuba, Djibouti, Ecuador, Egypt, Equatorial Guinea, Eritrea, Ethiopia, Gambia, Guinea, Guinea-Bissau, Haiti, Honduras, India, Iran, Iraq, Kenya, Democratic People's Republic of Korea, Kyrgyzstan, Lao People's Democratic Republic, Lebanon, Liberia, Libya, Macao, Madagascar, Malawi, Mali, Mauritania, Mozambique, Myanmar, Namibia, Niger, Nigeria, Niue, Pakistan, Palestine, State of, Rwanda, Senegal, Sierra Leone, Somalia, South Sudan, Sudan, Sri Lanka, Syrian Arab Republic, Swaziland, Tajikistan, Tanzania, United Republic of, Timor-Leste, Togo, Turkmenistan, Uganda, United States, Uzbekistan, Venezuela, Bolivarian Republic of, Viet Nam, Western Sahara, Yemen, Zambia, Zimbabwe.