Well, reproduction is a vital part of the definition of life. All living species reproduce (a living individual may not reproduce, but other members of that individuals species will)
All lifeforms on earth that meet that reproduction requirement, and the others
listed here, reproduce with the aid of DNA as the carrier of "blue prints" for the creation of new individuals. No creature can reproduce without having DNA.
Naturally, if you have one organism with one set of DNA, and that organism wants to reproduce, the DNA also needs to be reproduced (otherwise there would be no DNA for the new organism).
DNA reproduction
always goes wrong. Sometimes it's just a few letters switched around, and other times it's entire genes or even chromosomes being added or deleted.
That, and DNA is constantly getting damaged by harmful radiation, certain chemicals, etc. Letters can be changed to other letters, or removed all together.
"Higher animals" have quite a large machinery that tries to correct most of these damages, but it isn't perfect yet. A number of mistakes will always be given to the offspring. Note that in theory it is possible that a creature has such a good repair system that it will make perfect copies of itself.
But a creature who makes perfect copies of itself will also not be able to survive changes in it's enviroment, and will most likely die out.
So all in all, all living creatures reproduce (by definition), and all reproducing creatures reproduce with errors (that is both an observation, and a prediction from the Theory of Evolution, since perfect replicators would soon die out)