What is the oldest plant or animal that is living at this time and what is the oldest animal ever?

Answer 1

Creosote bushes in the Mohave desert have been aged to be about 12,000 years old, while for animals there was a Galapagos tortoise held in captivity in Australia that lived to be 175. In the movie "Finding Nemo" Crush replies to Marlin that he is 159 years old. That is a bit too long for a sea turtle. Their estimated ages span ranges from 30 to 80 years depending on the species - so it looks like the land tortoise wins out.

Answer 2

I believe it generally considered that the bristlecone pine that grows in the western US is the oldest plant. Usually this twisted plant does not show the majesty of the big trees as it hugs the ground and gets tortured by the wind, but it manages to survive a very long time. The first reference says over 4,700 years.
The oldest animal is probably one of the large turtles that plod slowly across the landscape Indeed the second reference claims so with ages of record being 130 or more years.