The Omnitrix (Ben 10) contains the DNA of virtually every alien species in existence.
Primus (Ben 10) contains the Codon Stream, which acts as a DNA database for every sapient species in the universe.
Lavos (Chrono Trigger) contains the DNA of every life form that has ever lived within its body.
The Joker (DC Animated Universe) encoded his DNA into a microchip that he implanted into Tim Drake's spinal cord, allowing the Clown Prince of Crimes to slowly but surely "reborn" in Drake's body.
The Growth Codex (DC Extended Universe) contains the genetic information of every individual Kryptonian...
...and is currently housed within the body of Superman.
Baby (Dragon Ball GT) possesses the genetic information of the Tuffles, making him a DNA archive for their race.
Dr. Gero's remote tracking devices (Dragon Ball Z) are specifically designed to record and store the DNA of Goku and the Z-Fighters for the creation of Cell.
Mew (Pokémon) contains the DNA of every single Pokémon species within its body.
Under the cover of the Worldwide Genome Project, the Kraang (Teenage Mutant Ninja Turtles 2012) have collected and stored the DNA of every animal species on Earth.
GOD (Toriko) has stored the DNA of every living thing that has existed since life began in the form of Food Memories, which is the main reason its almost impossible to prepare as a dish without dying from fatigue.