How to fly in an FIR without permission
From an article about surrounding countries not allowing overflights to/from Israel.......
"For anyone wanting to get from Israel to Asia, there is a narrow corridor available down the Red Sea, the Gulf of Aden, and across the Indian Ocean. This takes advantage of the fact that most countries operate with a 12NM rule – that is, if you’re in their FIR, and you’re 12NM away from the landmass, you don’t need a permit.
Israel’s national carrier El Al operates a couple of scheduled flights on this basis – one to Mumbai, and another to Bangkok"
"FL290 for southbound traffic, and FL300 for northbound. ATC at both Cairo and Saudi FIRs are used to that. When departing from Israel and going southbound, after losing radar contact with Cairo, you are on your own. Report on Africa VHF freq that you are "over International waters southbound / northbound etc." Listen to Saudi control and try to call them - but do not expect an answer. You will need to maintain your own separation visually, although the Saudis will see you on their radar and they are used to jets flying there. Keep your landing lights on 'pulse' for any opposite traffic. Contact Asmara (Eritrea) control 10NM before entering their FIR. Use SAT phone if no one answers on VHF."
Any other examples?