Unlike others, I definitely don't recommend cheerleading if you can't weight lift. Stunting with 100 pound girls isn't exactly an easy thing. Dance, rhythmic gymnastics, trampolining, or acro is definitely something to consider. Acro especially, since it is the fundamentals of gymnastics, but has a dance-based ground :)
Olympic style weightlifting, ie powelifting, bears little relation to bodybuilding & is not harmful to your body. Cheerleading is a posibility as others have suggested. Martial arts are similar to gymnastics in that they require discipline and controlled movement. Many people seem to be unaware that there are a number of different disciplines within gymnastics, not just artistic. There is also trampoline, tumbling, acrobatic, rhythmic, aerobic, and team gymnastics. So it may be that the gymnastics like sport you are looking for is actually gymnastics! Other, non sporting, physical activities that may appeal include acro dance, street dance, yoga and circus skills.
Cheerleading or ballet or rhythmic gymnastics its another type of gymnastics.
cheer or dance
Cheer, dance, or dive.
