You can't compare a Honda City/Jazz/Fit with a Corolla. They belong to two different classes. You can compare a Honda Fit with a Toyota Yaris. Yaris and City/Fit are sub-compact cars while Corolla is a compact car. You can compare Corolla with a Civic or a Lancer since they are all compact sedans. Lancer doesn't belong to a different class than Corolla and Civic.
Here are some major competitors of each other:
Honda City/Fit/Jazz vs. Toyota Yaris vs. Chevrolet Aveo/Pontiac Wave
Toyota Corolla vs. Honda Civic
Toyota Camry vs. Honda Accord vs. Nissan Altima
Toyota Avalon vs. Nissan Maxima