Are you sure? I have always found that EF shows all the fares published by a airline that are valid for the date specified. But they may not be available... it all depends on the fare buckets that are made available for a particular flight. Also fares are complex beasts... they can depend on routing (must fly via XYZ), on specific flight numbers, with specific airline or codeshare partner, with specific advance booking requirements or minimum stay requirements, etc. There can be hundreds of fares. Whether you can actually find a flight for a fare you see in the EF list is quite another story.

I find EF's tools, including fare listings, to be incredibly useful. But you need to use it together with other tools or flight booking engines. I find ITA Software's matrix really helpful in finding flights/route that work for a given fare... and it breaks down all the taxes and fees too. And then move on to actually purchasing the ticket (usually directly with airline) armed with the information provided by EF and Matrix.

Edit... note that sometimes airlines do not publish all their fares. They can have lower fares only available at their website that are not published to places like EF.

DAK