Zapdos is also useless against Megazard X (bar Discharge Para), Mew, Chansey, Mega Venusaur, Tapu Koko, and Rotom-W off the top of my head.
Without investment/Heat Wave it is sucks against Ferrothorn, Scizor (Normal and Mega), Magearna, and more. It is not a bad mon but if it gets Poisoned it...