LInk to indexes to civil registration offices in Hamburg: Hamburg Civil Registration
Link to video showing how to access the General Index to the Civil birth, marriage, and death registers-1866: https://www.youtube.com/watch?v=2wYxbxIewE8
Link to alphabetical registers: 1816-1866: https://www.hamburg.de/bkm/familienforschung/4307636/tipps-fuer-die-familienforschung/#anker_2
The Hamburg Passenger lists are indexed and available on Ancestry.com. Film copies of origins are also on FamilySearch.org.