I have City 2012/13 registered 1.3 prosmatic. I was also facing the gear jerk problem specially on low RPM, but that was much improved after changing the SPARK PLUGS. The electricion in I-10 suggested me to use 100% original spark plugs for Honda City auto version. The after market 'laser iridium plugs' don't work on city at all. The original part # of honda city spark plugs is 12290-RB1-003 @ Rs 2,170 each. No other plug will work for Honda CITY auto!
I tested!