I'm sure there are better, more recent translations, but I've read Plato: Complete Works (John Cooper) and a reasonable bit of Jowett's translations, and in my (layman's) opinion, if newer translations aren't available, Jowett's will do just fine.
I'm not saying they're awful, just that you're better off getting a reputable 20th century translation. Even a lot of the translations in the Complete Works you mention are getting on in years but it is the best complete edition...