Dawn Redwoods or ‘Dinosaur Trees’ are really not all that different than the well known bald cypress. In fact the first Dawn Redwood fossils found in 1855 were at first mistaken for bald cypress fossils.
As far as living fossils go, my favorite is the ginkgo biloba tree, of which fossils from 270 million years ago have been found, predating dinosaurs, and it shares traits of cycads (that look like ferns or palms) with which the ginkgo is considered among the most primitive seed bearing plants.
...and is downright strange among plants in that it has motile sperm...