Online records: Amsterdam population register
The Amsterdam city archive added two new databases to its websites: The population register 1851-1853 and the population register 1874-1893. The index of the latter is not complete yet, but will be soon.
The population register 1893-1939 (also known as the family cards) was already online.
Searching the indexes is free, but there is a charge for viewing and downloading scans.
The new databases are currently only available through the Dutch website.
If you plan to search the population register, be aware that many first names are abbreviated, e.g. Johs means Johannes. Use wildcards when searching, or only use surnames.
Warning: Population registers are not primary sources of BMD data and are known to contain errors.