Infinite line charge (lambda): Cylindrical Gaussian surface of radius r, length L. Flux = E(2pirL). Enclosed charge = lambdaL. Result: E = .
Infinite plane sheet (sigma): Pillbox Gaussian surface. Flux = 2EA (both flat faces). Enclosed charge = sigma*A. Result: E = .
Two parallel infinite sheets: Same sigma: E = outside both sides, E = 0 between them. Opposite sigma (+sigma and -sigma): E = between them, E = 0 outside. This is the basis of a parallel plate capacitor's uniform field.
Infinite uniformly charged cylinder (rho, radius R): Inside (r < R): E = rho*. Outside (r > R): E = where lambda = rhopi.