Why do fighter jets land faster than Jumbo commercial aircraft?
It is not only the mass that affects the landing speed. Wing area plays an important role as well. 

A larger wing can lift more weight at the same speed than a smaller wing. If you compare the wing loading of these aircraft the differences are smaller:

A388:


Maximum landing weight: 391000 kg
Wing area: 845 m2
Wing loading: 463 kg/m2


B744:


Maximum landing weight: 295000 kg
Wing area: 525 m2
Wing loading: 468 kg/m2


F-16A:


Estimated landing weight: 13000 kg
Wing area: 28 m2
Wing loading: 464 kg/m2