The Apple II E has a composite connector already, it's just that the system uses an internal speaker rather than using the monitor or tv speakers. I have to say that composite through my Philips monitor is pretty good, as is my Atari 800xl which composite is the best you can get (stock).
What you want is an RGB connection i think, which would be difficult to attain because it was never popular. There is the Apple IIE Extended 80col/RGB card but it has a propietory DB15 connection like the Macintosh rather than a VGA style connector.
SCART im not sure if that is even available.