The Toffees have beaten City in eight of ten Premier League meetings since January 2008 and the gaffer wants a similar outcome when the two clubs clash at the Etihad Stadium tomorrow.
"I think we've had some good performances [against City]," Moyes told the club's official website.
"I don't know if they're up there with the best in my time here but I think we've done quite well when we've played them and we'll try to do that again.
"They're up at the top of the league just behind Manchester United. I think by their standards, they've maybe not played as well as they can but I think their points total has been very good."