Baghdadi Jewish (also written Baghdadi Jews or Baghdadian Jews) refers to Jewish communities that migrated from Baghdad and other Middle Eastern cities (often Iraq, also places like Basra and Aleppo) and then built diaspora hubs around Indian Ocean and South China Sea trading ports—especially India (Bombay/Mumbai, Calcutta/Kolkata) and later Burma, Singapore, Hong Kong, and Shanghai. 
Why they became prominent in Asia
Many arrived as merchant families in the 18th–19th centuries and formed tight kinship-and-trust networks across port cities (family ties + marriage ties + communal institutions). 
Under British imperial trade systems, some families became major players in textiles, shipping, finance, real estate, and (in certain periods/places) the opium economy. 
Signature landmarks (easy “tells” of the Baghdadi Jewish footprint)
Ohel Rachel Synagogue (Shanghai) —
built by the Sassoon family; historically one of the largest synagogues in the Far East. 
Major synagogues and cemeteries tied to Baghdadi communities in Kolkata and Mumbai (visible reminders even as the communities shrank in the 20th century).
How this connects to the families you asked about
Sassoons: the most famous Baghdadi Jewish merchant dynasty (Bombay Shanghai Britain), heavily associated with Shanghai’s pre-1949 boom and communal institutions like Ohel Rachel. 
Kadoories: another leading Baghdadi Jewish family, later centered in Hong Kong, with long ties to the city’s development. 
If you tell me which city you care about—Mumbai/Kolkata vs Shanghai vs Hong Kong—I can give you a short, clean timeline + key families + key institutions for that specific node.
#OhelRachelSynagogue