I probably only heard of 2 of those (CAC, SAC and maybe Shanxxi AC)...and they aren't even famous.. (also for reliability, quality)
On the other hand, Russians have : Ilyushin, Sukhoi, Tupolev, Mikoyan, Yakovlev, Kamov, Antonov, Mil.... with the first 5 been world famous.
USA have : Lockheed Martin, Fairchild-Republic, Rockwell International, Boeing, McDonnell Douglas, General Dynamics, Bell, Hughes, Northrop Grumman, Sikorsky, Raytheon, General Atomics, Teledyne Ryan, Alliant Techsystems..... with first 11 been the most famous.
Just by looking at the number, and quality, product line diversity, you can see there is little to compare China to the former 2. That is why, China needs to create more world class aeronautical companies, or there is little chance for them to ever catch-up.
(and they still rely on russians to supply them jet engines for fighter aircraft design...)
Another way to look at it is in sports : professional leagues. Why do american dominate in these sports? Basketball, Baseball, while europeans dominated in Soccer? simple, a professional sports league with large enough variety of teams for competitions. Fierce competition creates an environment of harsher scrutiny and thus much higher quality players/products. The country with the most professional teams tends to have much larger infrastructure to support and refine their team's quality. From this point of view, I think China should have atleast 44 MAJOR DEDICATED aeronautical companies. Why? because China is 4 times the population of USA, and there is no reason why it should not have the human resource pool to create such environment of competitions.