How can i find cheap flights to europe?

i live in brisbane and want to get cheap flights to frankfurt or hamburg in germany but all are over 1500 dollars can you find any for cheaper? help please.How can i find cheap flights to europe?
First of all, it is easier to find a good fare for Frankfurt than for Hamburg. Having said that, these are the airlines that may have good services linking Brisbane with Frankfurt:



British Airways (via Singapore or Sydney)

Cathay Pacific (via Hong Kong)

Emirates (via Dubai; also serves Hamburg)

Etihad (via Abu Dhabi)

Korean Air (via Seoul)

Lufthansa (via Bangkok or Singapore)

Malaysia Airlines (via Kuala Lumpur)

Qantas (via Singapore or Sydney)

Singapore Airlines (via Singapore)

Thai Airways (via Bangkok)



However, you can split your trip into two tickets as you may find cheap options this way. For example, these points provide the shortest route between Brisbane and Frankfurt and they are suitably located for a split:



Almaty, Astana, Guangzhou, Hanoi, Hong Kong, Manila, Nanjing, Novosibirsk, Taipei, Yekaterinburg



There are tens of other points where a split can be done. For Hamburg, these are the best split points:



Bandar Seri Begawan, Bangkok, Denpasar, Hong Kong, Kuala Lumpur, Manila, Phuket, Seoul, Singapore, Taipei
I've gone to www.bookingbuddy.com and chosen ATI flights. They've always been less than any of the other sites. Not sure if they book from Australia to Europe.How can i find cheap flights to europe?
Skyscanner.net will show you the lowest fare.