I have been to Silver Dollar City every year since 1995 and a lot has changed in Branson's #1 attraction in that time (or has it...You see Silver Dollar City is always in the Years 1880-1889).  If your kids love large roller coasters, they will love this amusement park.  I happen to like the food, the train ride, the live shows, and the lights at Christmas time.

Other Attractions that I have been to in Branson and would recommend include:

Dolly Parton's Dixie Stampede - North vs. South and you eat with your hands Yeeehawww

Ripley's Believe It or Not - Pretty Cool

Titanic - Great Attraction for the money
Dip your hand if you dare (Brrrrr)

Golf - I really enjoy Thousand Hills Golf Club just below 76 Highway and the Grand Palace.