Robin,
The only park that we have stayed at in Branson is the Branson KOA on Animal Safari Road. It was a nice park, 150 or so RV sites plus some cabins. The best RV sites are the Luxury Sites that are extra wide with a paved patio, outdoor furniture and an outdoor patio fireplace. Those sites are very pricey, however, so we stayed in a Premium Site for a week which was much less and still a nice site. The park is less than a mile south of Hwy 76 where most of the attractions are and is easy to get in and out of. Check out the park on their website
http://bransonkoa.com/.
I'm sure there are others who have stayed at other parks that can make recomendations as well.
As far as shows, I guess that's more personal preference, but we saw The Oak Ridge Boys and thought that was a wonderful show, Shoji Tabuchi has a good show, Twelve Irish Tenors is good, we also saw the Texas Tenors and liked that show. Other shows we have seen are Acrobats of China, Dixie Stampede, Pierce Arrow, Presley's Country Jubilee, Comedy Jamboree and some others. We also went to the Titanic Museum which was good, Ripley's Believe It or Not, The Butterfly Palace, The Shepherd of The Hills play, Son's of the Pioneers Dinner Show and others. Lot's to see and do in Branson. Both times we went we got our tickets through Branson Tourism Center and they are good to work with.
Hope you have fun.
Dan