1. First 3-axis flight controls
2. First propellor theory that was twice the efficiency of other airscrews
3. First aircraft engine that had twice the power/weight of other engines
4. First design that used a wind tunnel to get an efficient wing shape
5. First directed research and development program to identify the problems and solve them one by one, with the results culminating in the 1903 Flyer
6. Properly documented everything with photographs, notebooks and witnesses
7. The Flyer is hanging in a museum today, and exacting replicas have been built and flown exhibiting the same documented flight characteristics as the Flyer.
If you look at other contenders, they were all lacking these points. For example, with the Wright propellor, engine, and airfoil their craft had an enormous advantage over other designs that were trial and error.
All modern aircraft can trace their lineage back to the 1903 Flyer, and no other claimant. The others were all developmental dead ends.
P.S. About the catapult thing - are airplanes launched from aircraft carriers not airplanes? Besides, the 1903 Flyer did not use a catapult.