Methods of operating a search engine device include repeatedly reading next keys (and associated handles) from a database within the search engine device in order to identify and transfer some or possibly all of the contents of the database to another device (e.g., command host) requesting the database contents. An operation to read a next key includes: (i) searching a pipelined database within the search engine device with a first key to identify at least one key therein that is greater than the first key and then (ii) executing a next key fetch operation in the pipelined database to identify the next key from the at least one key. The next key and a handle associated with the next key are then retrieved from the search engine device (e.g., transferred to a command host).