You have a loose connection somewhere in the circuit, and the vibrations of the dishwasher and the microwave, etc are causing it to make intermittent contact, thus the appliances are going on and off as if there was a ghost in the house. The loose connection could be a wirenut coming loose, or perhaps a bad receptacle like Triple D said. When you look at the back of the receptacle, check if it is wired around the screw or if the wire is just stuck into the back of the receptacle (back-stabbed). If you replace it, wrap the wires around the screw like Triple D said, DO NOT back-stab it. If that doesn't do the trick, you're going to have to keep checking outlet boxes until you find the loose connection. Let us know how it goes.
BTW, turn the power to the circuit off first............