Ugh I had to retype my answer, Y!A is working funny.
Likely plants, although it's difficult to make a generalization which such large groups. I say this because plants can undergo major genetic changes much more readily than animals, largely due to their modular nature. For example, gene duplications resulting in polyploidy and hybrids survive and thrive much more often with plants.
I am usually wary of using the term macroevolution, but in this case it's quite useful. While plants may evolve faster overall because of macroevolution due to the reasons listed above, it's less clear for microevolution. In this case, the rates are probably much more similar.
Nevertheless, it'll be difficult for you to ever obtain a clear answer to this question though, at least regarding microevolution. Measuring rates of evolution is controvertial, as it's difficult to be objective. Even using genetic sequences is difficult; are certain base pair changes weighted? Are junk DNA and coding changes weighted equally? What about duplications, and lengthening?
Sources (Y! having trouble posting separately)
Plants: Bone and Farres, 2001. Genetica 112-113: 165-182.
Animals: Kinnison and Hendry, 2001. Genetica 112–113: 145–164.