An electronic device may include a connector port that accommodates reversible connector plugs. The connector port may include protection circuitry that protects other components in the electronic device from undesired power supply voltages. The protection circuitry may form a first branch and a second branch opposite to the first branch. The protection circuitry may receive control signals from power polarity detection circuitry. The power polarity detection circuitry may detect the presence of power supply voltages at the first branch and the second branch. In response to detecting the presence of a power supply voltage at a given branch, the power polarity detection circuitry may disable a power supply signal path through the opposite branch and enable a power supply signal path through the given branch.