Step 1: Recall which vaccines are live attenuated.
A live vaccine contains a weakened form of the actual organism that can still multiply a little in the body, giving strong and long-lasting immunity, but needing care in immunocompromised patients.
Step 2: Check OPV.
Oral polio vaccine (OPV) uses a live attenuated poliovirus, so it is a live vaccine.
Step 3: Check BCG.
BCG (Bacillus Calmette Guerin) is a live attenuated strain of Mycobacterium bovis, so it is a live vaccine.
Step 4: Check Ty21a.
Ty21a is an oral typhoid vaccine made from a live attenuated strain of Salmonella typhi, so it is also a live vaccine.
Step 5: Check Hib vaccine.
The Hib vaccine protects against Haemophilus influenzae type b using its capsular polysaccharide, often conjugated to a protein carrier. It contains no living organism at all, so it is a subunit or conjugate vaccine, not a live one.
Step 6: Final answer.
Among the choices, the Hib vaccine is the one that is not live.
\[ \boxed{\text{Hib vaccine}} \]