I am looking for a flight search engine which is almost as advanced as Azuon, but includes more airlines. Azuon does what I want, but it does not include many airlines, specifically: Qatar Airways, Iberia, Czech Airlines, Lufthansa, Etihad Airways, Turkish Airlines, Cebu Pacific, KLM - which happen to be the airlines having cheapest flights to create my trip, making Azuon completely useless for my purpose.
Is there anything else besides ITA Software Matrix which comes close to what Azuon does, in terms of:
Searching across a broad range of dates for departure and return. At least a 1-week range, where the engine really searches for flights (not like Kayak and Skyscanner which only display results for a broad range of dates if other users search for these destinations on these dates before - making it pretty useless).
Searching for flights from a large group of origin and destination airports, either by being able to put at least 10 different origin and destination city codes, or by searching from/to all airports in a few-hundred km radius. Again - not just cached results, but actually search for all the combinations!
As such searches take a lot of time, its completely unpractical if the search is only interactive and all results are lost when the browser cache times out, it would be best if there is an engine which saves the results it found for my trip for my account, and then being able to broaden my search query and add new results to the old search.
I am attempting to find the best trip from Europe to South-East Asia departing in January 2016 and returning to Europe in March or April 2016, and some search engines limit the trip length to 30 days, making them useless for me.
And ability to do all the above while at the same time constructing and open-jaw multi-city flight would be perfect, but search engines which do broad dates and large group of airports without open-jaw/multi-city are also useful.
Using the Iberia.com flight search I was able to find quite interesting cheap open-jaw flights Warsaw - Beijing with return Singapore - Madrid for just 330 EUR total (mostly by British Airways, with last leg on Iberia Express), and no flight search engine I tried showed me these flights! Even http://www.flightnetwork.com/flights/ doesn't find that flight at all if I put these cities and dates, only showing another more expensive flight with 2 stopovers (instead of just 1 on Iberia) instead. Well, actually it does list almost exactly that flight, only with the last leg marketed as British Airways too (instead of Iberia Express) and the price being 606 EUR instead of 330 EUR.
So I will use that example to test the search engine greatness. The example dates for the 330 EUR flight are 5 January and return on 24 March. Test this before posting your answer. Iberia has a lot of such flights on different dates with different European and Asian cities, but allows to only manually search one specific city/date combination at a time, making it hugely time-intensive process to search what all the possibilities are.
I know about Flighfox marketplace too, I just want to know what are the most advanced automated flight search engines out there besides Azuon and Matrix, because they both miss important airlines for me (Matrix doesn't have some low-cost airlines I think and certainly won't mix alliances/LCCs on a single trip - i.e. combining separately bookable tickets).
Please do not post answers which do not at least fulfill point 1. and 2., as I know already most of the common flight search engines.