Sure.
One of my favorite places is MountainParkway offroad-Phone -(606)663-1028.They have very nice trails and also have hare scrambles.From lexington it is about 30 min drive to Clay City.Its about 2,000 acres.
Another is Livingston.From lexington go straight down I-75 about 40 min,Take the second livingston exit,park,go ride.Be carefull because the trails go on & on.In the summer its very difficult to get a parking spot if you dont get there early.Those are mainly where my time is split.Mountainparkway does charge $15 a day but it is well worth it,I keep a yearly membership($275).Its a great place for kids,where livingston is not in my opinion,for kids but excellent for roosting.Also,you can get to Daneil boone motorcross track from there also.