David Moyes' side started brightly, taking the game to their opponents through a mixture of intelligent movement and some well-organised pressing high up the pitch.
They eventually took a deserved lead on 33 minutes through their man of the moment, Marouane Fellaini, as the Belgian bundled home a Leighton Baines cross at the second attempt.
City had appeared slightly off the pace during the opening exchanges, but going behind seemed to serve as the perfect stimulant. They increased the tempo and quickly began pushing the action nearer Everton's goal.
The hosts got their riposte just before half-time via a penalty. Fellaini was adjudged to have brought down Edin Dzeko, and although replays showed the decision to be of the harsher variety, Carlos Tevez stepped up to pull his side level.
City continued on with growing intent as the second half progressed, although the Toffees carved out several half-chances themselves and could have taken the points late on.
Here are six Everton-related talking points to come from Saturday's game.