The accurate statement about evolution would be: Living things have adapted and changed over time for specific, discoverable reasons.
This reflects the scientific understanding that evolution occurs through processes such as natural selection, genetic drift, and mutation, which lead to adaptations over time in response to environmental pressures. The other statements are inaccurate: living things share common ancestries (including animals, plants, and microbes), evolution is an active area of scientific research, and there is a wide range of evidence supporting the theory of evolution beyond just DNA.