Sure some vehicles can be made but name a single combat fighter not made by US/Europe/Russia recently. I'm thinking names like Rafale (French), Raptor (US), Sukhoi PAK FA (Rus), Superhornet (US), Mirage (French), Typhoon (EU) and Flanker (Rus).
The only real new player in the high end combat jet market since WW2 is China with its Chengdu series of jets.
The only real joint effort between many smaller nations is the Eurofighter Typhoon. It's actually an example of how messy a co-operative multi-billion £ project can get (i.e. Design arguments, France withdrawal, delays, Order reductions etc). Basically came in wayyy overbudget and way too late, in the end it was only really saved by the other nations determination.
Edit: Just looked through some of my old notes from uni and there was a joint attempt by S-Korea and Indonesia to create the KAI KF-X but as far as I know thats faced over 10 years of issues and still isn't in production.
Looking at this list though the Typhoon is the only aircraft that was a joint effort of more than 2 nations.
https://en.wikipedia.org/wiki/List_of_fighter_aircraft