Put the names in a spreadsheet. Add in missing details, especially the service numbers, these are really useful for search engines.
Find the records in the National Archives. Search using name and service number. If you don't have service numbers, try using their name with the year of death, year of birth or home town until you find a match.
After you have the service numbers, you can type the last name and service number into any search engine, like DuckDuckGo or Google, to find more documents.
If your Anzac heroes are buried abroad, make connections with the community there, especially for communities where they only have a small number of Anzac graves.
Search foreign archives for additional photos and documents related to your Anzacs. Consider searching using foreign words, like chute d'avion (plane crash) in French, there are sites in German too.
We have provided two different tables of location data, the CWGC cemetery locations and the Traces of War locations, which includes cemeteries, monuments, sites of plane crashes and similar data. Try to automatically correlate the data to identify monuments related to Anzacs. Try to automatically identify the monuments and cemeteries missing from OpenStreetMap.