Many have mentioned the "extinct" animals that were supposed to have died out millions of years ago. I don't believe any animals died out that long ago. The Carbon14 dating used to determine age has been proven time and time again to be inaccurate and it bases it's calculations on several assumptions that can not be proven. I believe the Earth isn't millions of years old as many scientist believe. I believe it is much younger in the 6-10,000 year range. For an animal to be "fossilized" it has to be encased in mud. How do you suppose the dinosaurs and other "extinct" species became fossilized? They were covered in mud during the flood. When an animal dies, it doesn't just fall over and become fossilized. It is usually eaten by other animals and therefore, there is no evidence of it. The flood explains the fossilized remains of sharks etc inland on mountains etc as they were stranded in mud when the flood waters receded. They are not millions of years old. Someone mentioned paintings on cave walls depicting various things such as Bigfoot. There are also paintings and carvings of dinosaurs, complete ones, not bones of them. I believe early man lived side by side with dinosaurs or else they wouldn't have known what one really looked like. I know some ancient astronaut theorist claim that "Aliens" showed them what they looked like, but isn't it more plausible that they actually saw a living one? The Bible does mention dinosaurs, i.e. the Levithan and the Behemoth. Many dinosaurs died in the flood, some lived afterward (yes I believe some were on the ark, probably young ones or eggs not full grown ones) and as the environment changed, I believe they died out through normal extinction processes (limited food, change of available food as a result of a different environment after the flood, etc). We have been taught that the earth is millions of years old our entire lives and most refuse to consider that what we have believed our entire lives might actually be wrong.
On the note of Bigfoot, it could be a relative of Gigantopithicus (spelling) that never died out, just is a very reclusive creature. As others have said, there are a lot of animals thought to be extinct that we find every year. Now I won't truely believe it still exist until I see the hard evidence of it. But as there have been sightings, rumors of sightings all through history and on all continents, there is definitely something that people are seeing. Now as Swampman says, maybe it is really an extra-dimensional being. We may never know.
We can never prove Bigfoot doesn't exist, it is only possible to prove one does. That is if one is caught or killed.