US consulate asks for vaccination proof only for immigrant (green card) visa... And asking non immigrant visas like if you are going as a student to the US, then your vaccination record is required by the university where you are going such you usually submit to the university before going to visa. And yes proof of MMR is required if you are asked to submit your vaccination record.. Hepatitis B is optional

The CDC says adults at greater risk of measles or mumps should get two doses of MMR vaccine, the second one 4 weeks after the first. This includes adults who: Have been exposed to measles or mumps or live in an area where an outbreak has happened. Yes Hepatitis B vaccinations are also required. As per the CDC the necessary vaccinations required by the US immigration are: - Mumps - Measles - Rubella - Polio - Tetanus and diphtheria - Pertussis - Haemophilus influenzae type B (Hib) - Hepatitis A - Hepatitis B - Rotavirus - Meningococcal disease - Varicella - Pneumococcal disease - Seasonal influenza