I’d echo what Ren has said. If you like action shots such as airshows, landings and take-ofs as stated then you would be much better suited with an SLR, the picture takes the instant you press the button and theres no delay as with a lot of point and shoot cameras (especially digital).
The Canon EOS 300 is the one I started with and is a great camera, I think theres a new version called 300V out now.