Accuracy indicates whether a measurement is correct.
Reliability refers to whether the measurement is consistent.
Marczyk, Dematteo, and Festinger (2005), make a dart throwing comparison:
When throwing darts at a dart board, “Accuracy” refers to whether the darts are hitting the bull’s eye (an accurate dart thrower will throw darts that hit the bull’s eye).“Reliability,” on the other hand, refers to whether the darts are hitting the same spot (a reliable dart thrower will throw darts that hit the same spot). Therefore, an accurate and reliable dart thrower will consistently throw the darts in the bull’s eye. (p. 10)
Marczyk, G., DeMatteo, D., & Festinger, D. (2005). Essentials of research design and methodology. Hoboken, NJ: John Wiley & Sons.