I have flown, Qantas, British Airways, Singapore, Malaysian, Swiss (from Hong Kong), Austrian Airlines, (now no longer flying out of AU, but they codeshare with Thai, so Thai to Bangkok, then Austrian from Bangkok to Vienna), Emirates and I'm trying to think if who else. That may be it.
To Europe, I have never flown economy on any of them, so I can't tell you if their economy is any good. But most reasonably priced is Malaysian and Austrian, they are always half the price of Qantas and Austrian particularly has always been just fantastic, my favourite actually. Well except for Emirates, I do think they are probably the best. British Airways (have a feeling they don't fly out of AU any more, thank goodness), last time I flew with them one of the crews (Singapore to Heathrow leg), were SOOOOO rude! I ended up emailing a complaint and getting a credit. Singapore is fabulous, but expensive, Qantas, well they are Qantas, certainly no where near the cheapest. Malaysian, Thai were good and for the price, well worth it! At half the price of Qantas, it was fine! Swiss, it's been a while, but they still have a great reputation.
A friend once, we flew out of Frankfurt on QF, through Singapore, my friend at the same time flew Air France, through Singapore and we both landed around the same time. She HATED Air France economy (she flew over Qantas), she was trying to get an upgrade in Singapore for the leg back to BNE. So I haven't flown Air France, but she said they were absolutely terrible!
So my first pick for service and price, Austrian. But we love Vienna so are always happy to fly there, then off to London, Switzerland, where ever. Price no option, Emirates. But really I'd be happy with any that I have flown, with the exception of BA.