Do most Buddhist try to avoid being reincarnated?

I always thought people wanted to get reincarnated but when i studied a bit of Buddhism and Hinduism it looked as if most people strive to not come back to earth at all, what is your thoughts on reincarnation would you want to come back to earth or would you like to become nothing?

one would hope to live one’s life in perfect harmony with all of Nature and mankind and not HAVE to come back to rectify a wrong…. once perfection is reached, then Nirvana, Paradise is one’s next incarnation and perfect peace and joy is all one will then know……if we don’t ‘get it right’ we have to come back until we do…. and it would be wonderful to not have to come back!!

Around the World in 80 Faiths The Indian Subcontinent (Sikhism at 40:00 min) Buddhist Hindu Jain