The magnetization process of spin chains with randomness is discussed. We e
mphasize a close analogy between these systems and disordered particle syst
ems and pay particular attention to the (in)stability of spin-gapped phases
against several types of randomness. Generically, spin-gap states (plateau
s) and Bose-glass-like localized states compete and stable plateaus are pos
sible only for special magnetizations determined by spin S and the period o
f a pure system. When no external field is applied, the random-singlet stat
e or the Griffith's phase is possible.