You've got RUSSIA and TURKEY which have mainland territory in Europe and in Asia and PANAMA which is in both North and South America according to which side of the Canal you're on. The other one according to the Royal Geographical Soc has territory in both Africa and Asia which probably gives it away. But it's gone on too long so a change is due.
3.2 Countries in both Asia and Europe
3.3 Countries in both Asia and Africa
3.4 Countries in both Asia and Oceania
3.4.1 East Timor
3.5 Countries both in North America and South America
3.5.1 Trinidad and Tobago
3.5.3 Netherland Antilles
i think YOU should post another one, cos this was a good one!
My definitions came from the Royal Geographical Society and included just the Four (EGYPT being the last). The definition of Asia is slightly tricky because of politics. Eg Israel is in Asia - just look at its position relative to Turkey. but it enters the EURO-vision Song Contest. The Middle East is part of Asia but some take it to be a region on its own,. You just can't win!
After such research on your part I feel the baton should pass to you.