Lots of "good" rifles out there. Brownings, Winchesters, Remingtons, Savages, Rugers and a host of custom guns. It would help us to make recommendations if you had some price range in mind.
Keep in mind that good optics can be as much as a rifle and needs to be included in your price estimate. Add in a good set of rings, a bipod and a decent sling, well...
I'm shooting two 243's now, A Ruger #1B with a 26 inch bbl and a Remington 700 VLS heavy 26 inch bbl. The Ruger is the lighter of the two and the one that most goes with me. The Remington heavy bbl is a joy to shoot and very accurate, but not much fun to pack to a coyote set.
Another problem with the 243 is there not fur friendly so hide damage can be a problem.
Nice thing about a 243 is it makes a good deer gun along with a dandy varmit rifle.
Give us some idea what you want to spend and exactly what use your going to put that new 243 to and folks here will be able to help you better.
Ruger #1B 26 inch bbl, 243
Ruger #1B stock, this gun was built in 1979.
Remington 700 26 inch bbl 243 VLS