The current era today is Cenozoic
The era before the current one is typically referred to as the "previous era" or the "preceding era." It represents a specific period in history that came before the present era.
The current era is the Cenozoic. It began 65.5 million years ago. The previous era was the Mesozoic.
The Paleozoic precedes the Mesozoic. And our current era, the Cenozoic, follows the Mesozoic.
asthenosphere
The beginning of Earth's current era is marked by a mass extinction.
the mass extiction
65 million years
The current era today is Cenozoic
9500 BC.
The current era is the Cenozoic Era.
If by "Common Era" you are referring to the era name system, then Christianity coincided with the beginning of the Common Era. In fact, the Common Era is also known as the "Christian Era" or "Current Era". The year 1 CE is the year in which a 6th century monk estimated that Jesus had been born when he created the Common Era calendar.
precambrian era
the mesoproterozoic was an era itself not a period.
Classical era
in the era of awesomeness when dinosaurs were alive.
The current era is Cenozoic era. The preceding era was Mesozoic era. However if you are looking for periods in Cenozoic era, the current one is Neogene period, the preceding period was paleogene period.