The most unusual way to land an interview that I have seen, was with a 1 foot long bronze cockroach.
Here is a great article about 5 more unusual ways to land a job interview. They don’t include using a bronze cockroach.
The bronze cockroach was used as a resume by a friend of mine. He was applying for a hardcore programming job that required excellent 3-D art and perception abilities. He only sent the cockroach, his name, and phone number.
He got the interview and the job.