My father had his wallet stolen by a pickpocket on the bus.
Literal
Father [topic-は] bus inside [at-で] wallet [object-を] pickpocket [by-に] was-done-to.
すりにやられた uses the adversative passive — the subject is the victim of someone else's action. すり means 'pickpocket.' This is the 迷惑の受身 (suffering passive): the grammatical subject was negatively affected, even though the wallet, not the father, was the direct object of the stealing.