363 - the S363 was a soviet submarine that ran aground off the coast of Sweden in 1981. It was near to a Swedish naval base and created a diplomatic incident. The soviets denied spying, of course.
364 - In the aftermath of the september 11 2001 distruction of the world trade centre, the 19 Al Queda operatives were found to have used 364 alias and name variations in quietly going about their mission!
I think I'll leave 365 to someone else - ooh, that's a difficult one.