Alex, I'd say you're teacher is crazy. Jet fighters what? Find an older teacher right now! I don't know, perhaps being original is different from trying to impress.
So, I swallow my own recipe. Here you have my (as much as humanly possible) original ideas about racing. A word of advice: original ideas have at least two problems. First, they're hard to explain. Second, you probably will fail trying to implement them. Anyway, this is the best I can come up with.
Diesel
engines are obvious as WB points out.
Perhaps you should try electric motors. They're "hot" right now and they'll give the series a unique quality.
Are GM managers really betting their shirts on the Volt? Maybe
There are several examples of racing cars powered by electricity,
but no top racing series. On the other hand, you can find a dozen series powered by diesel. What would make your series different?
Same goes for
competing against GP2 or A1GP. It's like opening a fourth auto maker in US right now. Bad idea.
The
chassis is easy. Dallara is the one. A twist I would introduce is to create something like the software public license for this chassis, if you follow my drift. Have you ever seen the "public" blueprints for the Lotus 7? I would demand the same from Dallara: to publish the blueprints in the "public domain". That would be a hit, I think. You would have endless variations of the chassis created by "hackers".
Tyres, well, I don't know. Rubber is renewable, but polyurethane is radical.
I introduced the tweel to this forum years ago, I agree with WB that it's a new design. However, what about trying also to go to the roots? I suggest microcell polyurethane tyres. They're as green as you can go. It has another

advantage: there are no car tyres made of this material.
It's a hard road what these tyres have ahead of them
These tyres come in several colours: purple, yellow, blue, red, white and of course, green...
I would design new
tracks for electric racers. For starters, I would like to see someone experimenting with new materials, instead of asphalt. I don't know how feasible is to use for the surface the same material you use for the tyres, but the grip would be incredible. Have you ever ride a skate board? It's the same material used on those tyres.