A ceramic resonator uses a ceramic element as a piezoelectric resonator instead of quartz and have some form of internal load capacitance resulting in a three pin case where the center conductor (I assume in all cases) goes to ground. Ceramic resonators, as far as I remember, have good temperature characteristics but only fair mechanical stability. Ceramic resonators are more stable than an RC but less stable than a crystal. They are an inexpensive alternative to crystals.
You need to decide how critical the accuracy of the timing needs are in your circuit, An RC is good if timing is no issue at all, use a resonator if you need some precision, use a crystal for most circuits, use a TCXO for good accuracy, and use a OCXO for high accuracy.