Searching all scheduled commercial flights

Is there a way (similar to Google Flights / Matrix Airfare / ...) that allows me to search for all commercial flights? I'd like to have even the ones that are fully booked included. I'd assume that Google/Matrix/Skyscanner/... will not even show you a flight that cannot be booked anymore?
I don't necessarily need connecting flights, so if it only showed non-stops that'd be good enough.
EDIT (thanks to a question): Why do I want this info? Basically I have two use-cases where I found myself wanting this information:
- In certain cases you can actually get a ticket for a flights that's officially sold out if you phone up the airline. But it'd be important to know what airline and what flight.
- For travel planning it's sometimes important to see a "typical" flight schedule from one city to another. For example if you know you want to go to place X but you don't know whether to go to place A or B before X. Then I, it'd be nice to be able to find current, historic and future planned flights just to get an idea.
Best Answer
Not really an answer but too long for a comment:
At the moment me writing this, there are 11,540 commercial flights in the air. The average is around 115,000 flights per day. The exact timetable changes substantially day to day (but less so from week to week), so the amount of data required to cover, say, an entire year would very large.
What problem are you trying to solve exactly would you be doing with this massive amount of data?
There are probably commercial interfaces/databases available that OTA and search sires use, but these will cost you a pretty penny and it's also not clear whether that would address your needs.
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