The atmosphere had a much greater proportion of oxygen in the times of the dinosaurs. This contributes to the tendency to large size (if you've got to get oxygen to every part of your (big) body it helps if there's more of it about.) So, the large dinosaurs are probably not viable. Smaller ones might be.
As someone else has pointed out. DNA, though VERY stable as a chemical, has a shelf life of tens of thousands of years - just not 65 million.
Here's a thought though - It probably WOULD be possible to re-create Neanderthal man in a few years time. So, if Chelsea football club ever need a few more supporters...