If the definition of a living fossil is an organism that's basically unchanged over long periods of time, then we got a whole world of living fossils around us!
Species and groups of species which are called aberrant, and which may fancifully be called living fossils, will aid us in forming a picture of the ancient forms of life.
But just one of the problems with the idea of " living fossils" is that there are actually many plants and animals that look a lot like their distant ancestors.
These anomalous forms may be called living fossils; they have endured to the present day, from having inhabited a confined area, and from having been exposed to less varied, and therefore less severe, competition.